72371808 has 36 divisors (see below), whose sum is σ = 205808148. Its totient is φ = 24123840.

The previous prime is 72371753. The next prime is 72371851. The reversal of 72371808 is 80817327.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125358 + ... + 125933.

It is an arithmetic number, because the mean of its divisors is an integer number (5716893).

Almost surely, 2^72371808 is an apocalyptic number.

It is an amenable number.

72371808 is an abundant number, since it is smaller than the sum of its proper divisors (133436340).

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

72371808 is a wasteful number, since it uses less digits than its factorization.

72371808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251307 (or 251296 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 72371808 is about 8507.1621590281. The cubic root of 72371808 is about 416.7316390059.

It can be divided in two parts, 7237 and 1808, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 72371808 in words is "seventy-two million, three hundred seventy-one thousand, eight hundred eight".