72542790 has 128 divisors (see below), whose sum is σ = 204042240. Its totient is φ = 18545760.

The previous prime is 72542773. The next prime is 72542819. The reversal of 72542790 is 9724527.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 677917 + ... + 678023.

It is an arithmetic number, because the mean of its divisors is an integer number (1594080).

Almost surely, 2^72542790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72542790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102021120).

72542790 is an abundant number, since it is smaller than the sum of its proper divisors (131499450).

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

72542790 is a wasteful number, since it uses less digits than its factorization.

72542790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 72542790 is about 8517.2055276364. The cubic root of 72542790 is about 417.0595639774.

The spelling of 72542790 in words is "seventy-two million, five hundred forty-two thousand, seven hundred ninety".