72076752 has 60 divisors (see below), whose sum is σ = 220057344. Its totient is φ = 21840960.

The previous prime is 72076751. The next prime is 72076757. The reversal of 72076752 is 25767027.

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 (72076751) 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 11 ways as a sum of consecutive naturals, for example, 21168 + ... + 24335.

Almost surely, 2^72076752 is an apocalyptic number.

72076752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72076752 is an abundant number, since it is smaller than the sum of its proper divisors (147980592).

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

72076752 is a wasteful number, since it uses less digits than its factorization.

72076752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45528 (or 45519 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 72076752 is about 8489.8028245655. The cubic root of 72076752 is about 416.1645367381.

The spelling of 72076752 in words is "seventy-two million, seventy-six thousand, seven hundred fifty-two".