72438400 has 48 divisors (see below), whose sum is σ = 178953390. Its totient is φ = 28974080.

The previous prime is 72438397. The next prime is 72438403. The reversal of 72438400 is 483427.

It is an interprime number because it is at equal distance from previous prime (72438397) and next prime (72438403).

It can be written as a sum of positive squares in 3 ways, for example, as 45481536 + 26956864 = 6744^2 + 5192^2 .

It is not an unprimeable number, because it can be changed into a prime (72438403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8119 + ... + 14518.

Almost surely, 2^72438400 is an apocalyptic number.

It is an amenable number.

72438400 is an abundant number, since it is smaller than the sum of its proper divisors (106514990).

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

72438400 is a wasteful number, since it uses less digits than its factorization.

72438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22661 (or 22644 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 72438400 is about 8511.0751377250. The cubic root of 72438400 is about 416.8594165979.

The spelling of 72438400 in words is "seventy-two million, four hundred thirty-eight thousand, four hundred".