72416175722720 has 96 divisors (see below), whose sum is σ = 176994005126400. Its totient is φ = 27965829943296.

The previous prime is 72416175722713. The next prime is 72416175722747. The reversal of 72416175722720 is 2722757161427.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72897521 + ... + 73884239.

It is an arithmetic number, because the mean of its divisors is an integer number (1843687553400).

Almost surely, 2^{72416175722720} is an apocalyptic number.

It is an amenable number.

72416175722720 is an abundant number, since it is smaller than the sum of its proper divisors (104577829403680).

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

72416175722720 is a wasteful number, since it uses less digits than its factorization.

72416175722720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002580 (or 1002572 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 53.

The spelling of 72416175722720 in words is "seventy-two trillion, four hundred sixteen billion, one hundred seventy-five million, seven hundred twenty-two thousand, seven hundred twenty".