72400000 has 96 divisors (see below), whose sum is σ = 181277460. Its totient is φ = 28800000.

The previous prime is 72399997. The next prime is 72400019. The reversal of 72400000 is 427.

It can be written as a sum of positive squares in 6 ways, for example, as 29680704 + 42719296 = 5448^2 + 6536^2 .

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, 399910 + ... + 400090.

Almost surely, 2^72400000 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 72400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90638730).

72400000 is an abundant number, since it is smaller than the sum of its proper divisors (108877460).

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

72400000 is an frugal number, since it uses more digits than its factorization.

72400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 72400000 is about 8508.8189544731. The cubic root of 72400000 is about 416.7857437441.

Adding to 72400000 its reverse (427), we get a palindrome (72400427).

The spelling of 72400000 in words is "seventy-two million, four hundred thousand".