72253584 has 90 divisors (see below), whose sum is σ = 219034530. Its totient is φ = 22224384.

The previous prime is 72253549. The next prime is 72253589. The reversal of 72253584 is 48535227.

72253584 is a `hidden beast` number, since 7 + 22 + 53 + 584 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8573184 + 63680400 = 2928^2 + 7980^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72253589) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22852 + ... + 25820.

It is an arithmetic number, because the mean of its divisors is an integer number (2433717).

Almost surely, 2^72253584 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 72253584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109517265).

72253584 is an abundant number, since it is smaller than the sum of its proper divisors (146780946).

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

72253584 is a wasteful number, since it uses less digits than its factorization.

72253584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 2987 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 72253584 is about 8500.2108209150. The cubic root of 72253584 is about 416.5045960254.

The spelling of 72253584 in words is "seventy-two million, two hundred fifty-three thousand, five hundred eighty-four".