72865104 has 80 divisors (see below), whose sum is σ = 211569792. Its totient is φ = 21441024.

The previous prime is 72865103. The next prime is 72865109. The reversal of 72865104 is 40156827.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72865103) 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 15 ways as a sum of consecutive naturals, for example, 11814 + ... + 16890.

Almost surely, 2^72865104 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 72865104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105784896).

72865104 is an abundant number, since it is smaller than the sum of its proper divisors (138704688).

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

72865104 is a wasteful number, since it uses less digits than its factorization.

72865104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 72865104 is about 8536.1059037479. The cubic root of 72865104 is about 417.6763288789.

The spelling of 72865104 in words is "seventy-two million, eight hundred sixty-five thousand, one hundred four".