72748400 has 30 divisors (see below), whose sum is σ = 174778992. Its totient is φ = 29099200.

The previous prime is 72748393. The next prime is 72748409. The reversal of 72748400 is 484727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72748409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90536 + ... + 91335.

Almost surely, 2^72748400 is an apocalyptic number.

It is an amenable number.

72748400 is an abundant number, since it is smaller than the sum of its proper divisors (102030592).

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

72748400 is a wasteful number, since it uses less digits than its factorization.

72748400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181889 (or 181878 counting only the distinct ones).

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

The square root of 72748400 is about 8529.2672604392. The cubic root of 72748400 is about 417.4532200446.

The spelling of 72748400 in words is "seventy-two million, seven hundred forty-eight thousand, four hundred".