72300564 has 72 divisors (see below), whose sum is σ = 210799680. Its totient is φ = 20466432.

The previous prime is 72300559. The next prime is 72300581. The reversal of 72300564 is 46500327.

It is a happy number.

72300564 is a `hidden beast` number, since 72 + 30 + 0 + 564 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 27207 + ... + 29745.

Almost surely, 2^72300564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72300564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105399840).

72300564 is an abundant number, since it is smaller than the sum of its proper divisors (138499116).

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

72300564 is a wasteful number, since it uses less digits than its factorization.

72300564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 72300564 is about 8502.9738327246. The cubic root of 72300564 is about 416.5948482796.

The spelling of 72300564 in words is "seventy-two million, three hundred thousand, five hundred sixty-four".