72991152 has 160 divisors (see below), whose sum is σ = 231860160. Its totient is φ = 21841920.

The previous prime is 72991151. The next prime is 72991157. The reversal of 72991152 is 25119927.

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

It is not an unprimeable number, because it can be changed into a prime (72991151) 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 31 ways as a sum of consecutive naturals, for example, 230098 + ... + 230414.

It is an arithmetic number, because the mean of its divisors is an integer number (1449126).

Almost surely, 2^72991152 is an apocalyptic number.

72991152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72991152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115930080).

72991152 is an abundant number, since it is smaller than the sum of its proper divisors (158869008).

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

72991152 is a wasteful number, since it uses less digits than its factorization.

72991152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 72991152 is about 8543.4859395916. The cubic root of 72991152 is about 417.9170336622.

The spelling of 72991152 in words is "seventy-two million, nine hundred ninety-one thousand, one hundred fifty-two".