72006435264 has 56 divisors (see below), whose sum is σ = 195666154768. Its totient is φ = 23353436160.

The previous prime is 72006435257. The next prime is 72006435287. The reversal of 72006435264 is 46253460027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5060917 + ... + 5075124.

It is an arithmetic number, because the mean of its divisors is an integer number (3494038478).

Almost surely, 2^72006435264 is an apocalyptic number.

72006435264 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

72006435264 is an abundant number, since it is smaller than the sum of its proper divisors (123659719504).

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

72006435264 is a wasteful number, since it uses less digits than its factorization.

72006435264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10136093 (or 10136083 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 72006435264 in words is "seventy-two billion, six million, four hundred thirty-five thousand, two hundred sixty-four".