72786300 has 36 divisors (see below), whose sum is σ = 210595896. Its totient is φ = 19409600.

The previous prime is 72786293. The next prime is 72786341. The reversal of 72786300 is 368727.

It is a congruent number.

It is an unprimeable number.

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, 121011 + ... + 121610.

It is an arithmetic number, because the mean of its divisors is an integer number (5849886).

Almost surely, 2^72786300 is an apocalyptic number.

It is an amenable number.

72786300 is an abundant number, since it is smaller than the sum of its proper divisors (137809596).

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

72786300 is a wasteful number, since it uses less digits than its factorization.

72786300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242638 (or 242631 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 72786300 is about 8531.4887329235. The cubic root of 72786300 is about 417.5257015026.

The spelling of 72786300 in words is "seventy-two million, seven hundred eighty-six thousand, three hundred".