72740400 has 60 divisors (see below), whose sum is σ = 233015592. Its totient is φ = 19397120.

The previous prime is 72740389. The next prime is 72740407. The reversal of 72740400 is 404727.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (72740407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29109 + ... + 31508.

Almost surely, 2^72740400 is an apocalyptic number.

It is an amenable number.

72740400 is an abundant number, since it is smaller than the sum of its proper divisors (160275192).

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

72740400 is a wasteful number, since it uses less digits than its factorization.

72740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60638 (or 60627 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 72740400 is about 8528.7982740829. The cubic root of 72740400 is about 417.4379173108.

The spelling of 72740400 in words is "seventy-two million, seven hundred forty thousand, four hundred".