72610260884928 has 420 divisors, whose sum is σ = 233191611749448. Its totient is φ = 22329967196160.

The previous prime is 72610260884927. The next prime is 72610260884947. The reversal of 72610260884928 is 82948806201627.

72610260884928 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 0 + 2 + 60 + 88 + 492 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72610260884927) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1761808450 + ... + 1761849662.

Almost surely, 2^{72610260884928} is an apocalyptic number.

72610260884928 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72610260884928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116595805874724).

72610260884928 is an abundant number, since it is smaller than the sum of its proper divisors (160581350864520).

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

72610260884928 is a wasteful number, since it uses less digits than its factorization.

72610260884928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43274 (or 43242 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 72610260884928 in words is "seventy-two trillion, six hundred ten billion, two hundred sixty million, eight hundred eighty-four thousand, nine hundred twenty-eight".