72601004256 has 96 divisors (see below), whose sum is σ = 208157983488. Its totient is φ = 21973309440.

The previous prime is 72601004251. The next prime is 72601004261. The reversal of 72601004256 is 65240010627.

It is an interprime number because it is at equal distance from previous prime (72601004251) and next prime (72601004261).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×72601004256² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72601004251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827320 + ... + 910856.

It is an arithmetic number, because the mean of its divisors is an integer number (2168312328).

Almost surely, 2^72601004256 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 72601004256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104078991744).

72601004256 is an abundant number, since it is smaller than the sum of its proper divisors (135556979232).

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

72601004256 is a wasteful number, since it uses less digits than its factorization.

72601004256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84384 (or 84376 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 72601004256 in words is "seventy-two billion, six hundred one million, four thousand, two hundred fifty-six".