72554435616 has 96 divisors (see below), whose sum is σ = 206987901120. Its totient is φ = 22119588864.

The previous prime is 72554435593. The next prime is 72554435669. The reversal of 72554435616 is 61653445527.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×72554435616² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130650 + ... + 402713.

It is an arithmetic number, because the mean of its divisors is an integer number (2156123970).

Almost surely, 2^72554435616 is an apocalyptic number.

It is an amenable number.

72554435616 is an abundant number, since it is smaller than the sum of its proper divisors (134433465504).

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

72554435616 is a wasteful number, since it uses less digits than its factorization.

72554435616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533498 (or 533490 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 48.

The spelling of 72554435616 in words is "seventy-two billion, five hundred fifty-four million, four hundred thirty-five thousand, six hundred sixteen".