72388224 has 96 divisors (see below), whose sum is σ = 215130240. Its totient is φ = 23339520.

The previous prime is 72388189. The next prime is 72388249. The reversal of 72388224 is 42288327.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34699 + ... + 36725.

It is an arithmetic number, because the mean of its divisors is an integer number (2240940).

Almost surely, 2^72388224 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 72388224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107565120).

72388224 is an abundant number, since it is smaller than the sum of its proper divisors (142742016).

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

72388224 is a wasteful number, since it uses less digits than its factorization.

72388224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2063 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 72388224 is about 8508.1269384042. The cubic root of 72388224 is about 416.7631455164.

The spelling of 72388224 in words is "seventy-two million, three hundred eighty-eight thousand, two hundred twenty-four".