72067904 has 28 divisors (see below), whose sum is σ = 144743424. Its totient is φ = 35597184.

The previous prime is 72067861. The next prime is 72067909. The reversal of 72067904 is 40976027.

It is a hoax number, since the sum of its digits (35) 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 (72067909) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1472 + ... + 12095.

It is an arithmetic number, because the mean of its divisors is an integer number (5169408).

Almost surely, 2^72067904 is an apocalyptic number.

It is an amenable number.

72067904 is an abundant number, since it is smaller than the sum of its proper divisors (72675520).

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

72067904 is a wasteful number, since it uses less digits than its factorization.

72067904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13662 (or 13652 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 72067904 is about 8489.2817128424. The cubic root of 72067904 is about 416.1475068619.

The spelling of 72067904 in words is "seventy-two million, sixty-seven thousand, nine hundred four".