72279816832656 has 240 divisors, whose sum is σ = 208258836724224. Its totient is φ = 23390090551296.

The previous prime is 72279816832621. The next prime is 72279816832721. The reversal of 72279816832656 is 65623861897227.

72279816832656 is a `hidden beast` number, since 7 + 2 + 2 + 7 + 98 + 168 + 326 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1202569101 + ... + 1202629203.

Almost surely, 2^{72279816832656} 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 72279816832656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104129418362112).

72279816832656 is an abundant number, since it is smaller than the sum of its proper divisors (135979019891568).

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

72279816832656 is a wasteful number, since it uses less digits than its factorization.

72279816832656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61598 (or 61589 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 72279816832656 in words is "seventy-two trillion, two hundred seventy-nine billion, eight hundred sixteen million, eight hundred thirty-two thousand, six hundred fifty-six".