72090564 has 72 divisors (see below), whose sum is σ = 210748608. Its totient is φ = 19010880.

The previous prime is 72090559. The next prime is 72090569. The reversal of 72090564 is 46509027.

It is an interprime number because it is at equal distance from previous prime (72090559) and next prime (72090569).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72090569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2929 + ... + 12359.

It is an arithmetic number, because the mean of its divisors is an integer number (2927064).

Almost surely, 2^72090564 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 72090564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105374304).

72090564 is an abundant number, since it is smaller than the sum of its proper divisors (138658044).

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

72090564 is a wasteful number, since it uses less digits than its factorization.

72090564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9465 (or 9456 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 72090564 is about 8490.6162320529. The cubic root of 72090564 is about 416.1911181128.

The spelling of 72090564 in words is "seventy-two million, ninety thousand, five hundred sixty-four".