72120694464 has 1260 divisors, whose sum is σ = 292193547184. Its totient is φ = 17123622912.

The previous prime is 72120694453. The next prime is 72120694493. The reversal of 72120694464 is 46449602127.

72120694464 is a `hidden beast` number, since 7 + 2 + 120 + 69 + 4 + 464 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3135682357 + ... + 3135682379.

Almost surely, 2^72120694464 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 72120694464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146096773592).

72120694464 is an abundant number, since it is smaller than the sum of its proper divisors (220072852720).

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

72120694464 is a wasteful number, since it uses less digits than its factorization.

72120694464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 72120694464 in words is "seventy-two billion, one hundred twenty million, six hundred ninety-four thousand, four hundred sixty-four".