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72058021420 = 225711431088161
BaseRepresentation
bin100001100011011111…
…1100010011000101100
320212222211212202112011
41003012333202120230
52140033323141140
653034125251004
75130444035050
oct1030677423054
9225884782464
1072058021420
1128617969020
1211b70103a64
136a449281c8
1436b8095c60
151d1b134cea
hex10c6fe262c

72058021420 has 96 divisors (see below), whose sum is σ = 193048644096. Its totient is φ = 21937305600.

The previous prime is 72058021403. The next prime is 72058021429. The reversal of 72058021420 is 2412085027.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72058021429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477861 + ... + 610300.

It is an arithmetic number, because the mean of its divisors is an integer number (2010923376).

Almost surely, 272058021420 is an apocalyptic number.

72058021420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72058021420 is an abundant number, since it is smaller than the sum of its proper divisors (120990622676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72058021420 is a wasteful number, since it uses less digits than its factorization.

72058021420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088231 (or 1088229 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 72058021420 in words is "seventy-two billion, fifty-eight million, twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 43 44 55 70 77 86 110 140 154 172 215 220 301 308 385 430 473 602 770 860 946 1204 1505 1540 1892 2365 3010 3311 4730 6020 6622 9460 13244 16555 33110 66220 1088161 2176322 4352644 5440805 7617127 10881610 11969771 15234254 21763220 23939542 30468508 38085635 46790923 47879084 59848855 76171270 83788397 93581846 119697710 152342540 167576794 187163692 233954615 239395420 327536461 335153588 418941985 467909230 514700153 655072922 837883970 935818460 1029400306 1310145844 1637682305 1675767940 2058800612 2573500765 3275364610 3602901071 5147001530 6550729220 7205802142 10294003060 14411604284 18014505355 36029010710 72058021420