72076608 has 112 divisors (see below), whose sum is σ = 216164160. Its totient is φ = 23542272.

The previous prime is 72076601. The next prime is 72076621. The reversal of 72076608 is 80667027.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72076601) 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 15 ways as a sum of consecutive naturals, for example, 91191 + ... + 91977.

Almost surely, 2^72076608 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 72076608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108082080).

72076608 is an abundant number, since it is smaller than the sum of its proper divisors (144087552).

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

72076608 is a wasteful number, since it uses less digits than its factorization.

72076608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 72076608 is about 8489.7943437989. The cubic root of 72076608 is about 416.1642595904.

The spelling of 72076608 in words is "seventy-two million, seventy-six thousand, six hundred eight".