72744800 has 36 divisors (see below), whose sum is σ = 177590196. Its totient is φ = 29097600.

The previous prime is 72744799. The next prime is 72744809. The reversal of 72744800 is 844727.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72744809) 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, 44666 + ... + 46265.

It is an arithmetic number, because the mean of its divisors is an integer number (4933061).

Almost surely, 2^72744800 is an apocalyptic number.

It is an amenable number.

72744800 is an abundant number, since it is smaller than the sum of its proper divisors (104845396).

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

72744800 is a wasteful number, since it uses less digits than its factorization.

72744800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90951 (or 90938 counting only the distinct ones).

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

The square root of 72744800 is about 8529.0562197702. The cubic root of 72744800 is about 417.4463339532.

The spelling of 72744800 in words is "seventy-two million, seven hundred forty-four thousand, eight hundred".