72460635423600 has 60 divisors (see below), whose sum is σ = 232115568810776. Its totient is φ = 19322836112640.

The previous prime is 72460635423599. The next prime is 72460635423601. The reversal of 72460635423600 is 632453606427.

It is an interprime number because it is at equal distance from previous prime (72460635423599) and next prime (72460635423601).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72460635423600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72460635423601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30191930227 + ... + 30191932626.

Almost surely, 2^{72460635423600} is an apocalyptic number.

It is an amenable number.

72460635423600 is an abundant number, since it is smaller than the sum of its proper divisors (159654933387176).

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

72460635423600 is a wasteful number, since it uses less digits than its factorization.

72460635423600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60383862874 (or 60383862863 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 72460635423600 in words is "seventy-two trillion, four hundred sixty billion, six hundred thirty-five million, four hundred twenty-three thousand, six hundred".