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72071378416 = 24172311520361
BaseRepresentation
bin100001100011111001…
…0011111010111110000
320220000210000100212201
41003013302133113300
52140100233102131
653035323432544
75130665415532
oct1030762372760
9226023010781
1072071378416
1128624461364
1211b74685754
136a47623a5b
1436b9b71852
151d1c3c2761
hex10c7c9f5f0

72071378416 has 40 divisors (see below), whose sum is σ = 154280687904. Its totient is φ = 32441333760.

The previous prime is 72071378369. The next prime is 72071378419. The reversal of 72071378416 is 61487317027.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72071378419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5753925 + ... + 5766436.

Almost surely, 272071378416 is an apocalyptic number.

It is an amenable number.

72071378416 is an abundant number, since it is smaller than the sum of its proper divisors (82209309488).

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

72071378416 is a wasteful number, since it uses less digits than its factorization.

72071378416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11520409 (or 11520403 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 46.

The spelling of 72071378416 in words is "seventy-two billion, seventy-one million, three hundred seventy-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1564 3128 6256 11520361 23040722 46081444 92162888 184325776 195846137 264968303 391692274 529936606 783384548 1059873212 1566769096 2119746424 3133538192 4239492848 4504461151 9008922302 18017844604 36035689208 72071378416