72601156656 has 640 divisors, whose sum is σ = 252973332480. Its totient is φ = 19752284160.

The previous prime is 72601156643. The next prime is 72601156721. The reversal of 72601156656 is 65665110627.

72601156656 is a `hidden beast` number, since 7 + 26 + 0 + 11 + 566 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 642488056 + ... + 642488168.

It is an arithmetic number, because the mean of its divisors is an integer number (395270832).

Almost surely, 2^72601156656 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 72601156656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126486666240).

72601156656 is an abundant number, since it is smaller than the sum of its proper divisors (180372175824).

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

72601156656 is a wasteful number, since it uses less digits than its factorization.

72601156656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 72601156656 in words is "seventy-two billion, six hundred one million, one hundred fifty-six thousand, six hundred fifty-six".