72875544 has 96 divisors (see below), whose sum is σ = 218880000. Its totient is φ = 20139840.

The previous prime is 72875531. The next prime is 72875563. The reversal of 72875544 is 44557827.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 72875496 and 72875505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35457 + ... + 37455.

It is an arithmetic number, because the mean of its divisors is an integer number (2280000).

Almost surely, 2^72875544 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 72875544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109440000).

72875544 is an abundant number, since it is smaller than the sum of its proper divisors (146004456).

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

72875544 is a wasteful number, since it uses less digits than its factorization.

72875544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2042 counting only the distinct ones).

The product of its digits is 313600, while the sum is 42.

The square root of 72875544 is about 8536.7174019057. The cubic root of 72875544 is about 417.6962759335.

The spelling of 72875544 in words is "seventy-two million, eight hundred seventy-five thousand, five hundred forty-four".