72478400 has 84 divisors (see below), whose sum is σ = 180566568. Its totient is φ = 28631040.

The previous prime is 72478397. The next prime is 72478409. The reversal of 72478400 is 487427.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (72478409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154967 + ... + 155433.

It is an arithmetic number, because the mean of its divisors is an integer number (2149602).

Almost surely, 2^72478400 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 72478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90283284).

72478400 is an abundant number, since it is smaller than the sum of its proper divisors (108088168).

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

72478400 is a wasteful number, since it uses less digits than its factorization.

72478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 72478400 is about 8513.4246928014. The cubic root of 72478400 is about 416.9361314731.

The spelling of 72478400 in words is "seventy-two million, four hundred seventy-eight thousand, four hundred".