72333352 has 48 divisors (see below), whose sum is σ = 167862240. Its totient is φ = 28611648.

The previous prime is 72333341. The next prime is 72333403. The reversal of 72333352 is 25333327.

It is a super-2 number, since 2×72333352² = 10464227623111808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 72333352.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5643 + ... + 13285.

It is an arithmetic number, because the mean of its divisors is an integer number (3497130).

Almost surely, 2^72333352 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 72333352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83931120).

72333352 is an abundant number, since it is smaller than the sum of its proper divisors (95528888).

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

72333352 is a wasteful number, since it uses less digits than its factorization.

72333352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7682 (or 7665 counting only the distinct ones).

The product of its digits is 11340, while the sum is 28.

The square root of 72333352 is about 8504.9016455218. The cubic root of 72333352 is about 416.6578134297.

Adding to 72333352 its reverse (25333327), we get a palindrome (97666679).

It can be divided in two parts, 7233 and 3352, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 72333352 in words is "seventy-two million, three hundred thirty-three thousand, three hundred fifty-two".