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72701420 = 225112771193
BaseRepresentation
bin1000101010101…
…01010111101100
312001210121121012
410111111113230
5122102421140
611114124352
71541644331
oct425252754
9161717535
1072701420
1138046720
12204206b8
13120a62bc
149926988
1565b1265
hex45555ec

72701420 has 48 divisors (see below), whose sum is σ = 167293728. Its totient is φ = 26319360.

The previous prime is 72701399. The next prime is 72701437. The reversal of 72701420 is 2410727.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60344 + ... + 61536.

It is an arithmetic number, because the mean of its divisors is an integer number (3485286).

Almost surely, 272701420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72701420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83646864).

72701420 is an abundant number, since it is smaller than the sum of its proper divisors (94592308).

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

72701420 is a wasteful number, since it uses less digits than its factorization.

72701420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 72701420 is about 8526.5127690047. The cubic root of 72701420 is about 417.3633386840.

The spelling of 72701420 in words is "seventy-two million, seven hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 277 554 1108 1193 1385 2386 2770 3047 4772 5540 5965 6094 11930 12188 13123 15235 23860 26246 30470 52492 60940 65615 131230 262460 330461 660922 1321844 1652305 3304610 3635071 6609220 7270142 14540284 18175355 36350710 72701420