72648300 has 36 divisors (see below), whose sum is σ = 210196616. Its totient is φ = 19372800.

The previous prime is 72648299. The next prime is 72648337. The reversal of 72648300 is 384627.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 120781 + ... + 121380.

Almost surely, 2^72648300 is an apocalyptic number.

It is an amenable number.

72648300 is an abundant number, since it is smaller than the sum of its proper divisors (137548316).

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

72648300 is a wasteful number, since it uses less digits than its factorization.

72648300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242178 (or 242171 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 72648300 is about 8523.3972100331. The cubic root of 72648300 is about 417.2616637218.

The spelling of 72648300 in words is "seventy-two million, six hundred forty-eight thousand, three hundred".