72302364 has 36 divisors (see below), whose sum is σ = 183030120. Its totient is φ = 24065760.

The previous prime is 72302359. The next prime is 72302371. The reversal of 72302364 is 46320327.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39019 + ... + 40829.

It is an arithmetic number, because the mean of its divisors is an integer number (5084170).

Almost surely, 2^72302364 is an apocalyptic number.

It is an amenable number.

72302364 is an abundant number, since it is smaller than the sum of its proper divisors (110727756).

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

72302364 is a wasteful number, since it uses less digits than its factorization.

72302364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 72302364 is about 8503.0796773875. The cubic root of 72302364 is about 416.5983054426.

The spelling of 72302364 in words is "seventy-two million, three hundred two thousand, three hundred sixty-four".