72335952 has 120 divisors (see below), whose sum is σ = 230938344. Its totient is φ = 20938752.

The previous prime is 72335917. The next prime is 72335981. The reversal of 72335952 is 25953327.

It can be written as a sum of positive squares in 4 ways, for example, as 21013056 + 51322896 = 4584^2 + 7164^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30688 + ... + 32960.

Almost surely, 2^72335952 is an apocalyptic number.

72335952 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 72335952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115469172).

72335952 is an abundant number, since it is smaller than the sum of its proper divisors (158602392).

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

72335952 is a wasteful number, since it uses less digits than its factorization.

72335952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2308 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 72335952 is about 8505.0544971799. The cubic root of 72335952 is about 416.6628055820.

The spelling of 72335952 in words is "seventy-two million, three hundred thirty-five thousand, nine hundred fifty-two".