72365997 has 32 divisors (see below), whose sum is σ = 109707264. Its totient is φ = 42033600.

The previous prime is 72365987. The next prime is 72366001. The reversal of 72365997 is 79956327.

It is not a de Polignac number, because 72365997 - 2⁷ = 72365869 is a prime.

Its product of digits (714420) is a multiple of the sum of its prime divisors (729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72365987) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 129643 + ... + 130199.

It is an arithmetic number, because the mean of its divisors is an integer number (3428352).

Almost surely, 2^72365997 is an apocalyptic number.

It is an amenable number.

72365997 is a deficient number, since it is larger than the sum of its proper divisors (37341267).

72365997 is a wasteful number, since it uses less digits than its factorization.

72365997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729.

The product of its digits is 714420, while the sum is 48.

The square root of 72365997 is about 8506.8206164230. The cubic root of 72365997 is about 416.7204850661.

The spelling of 72365997 in words is "seventy-two million, three hundred sixty-five thousand, nine hundred ninety-seven".