72333360 has 120 divisors (see below), whose sum is σ = 265032144. Its totient is φ = 17533440.

The previous prime is 72333341. The next prime is 72333403. The reversal of 72333360 is 6333327.

72333360 = 338² + 339² + ... + 634².

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×72333360² = 10464229937779200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354 + ... + 12486.

Almost surely, 2^72333360 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 72333360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132516072).

72333360 is an abundant number, since it is smaller than the sum of its proper divisors (192698784).

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

72333360 is a wasteful number, since it uses less digits than its factorization.

72333360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9163 (or 9154 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 27.

The square root of 72333360 is about 8504.9021158388. The cubic root of 72333360 is about 416.6578287903.

Adding to 72333360 its reverse (6333327), we get a palindrome (78666687).

The spelling of 72333360 in words is "seventy-two million, three hundred thirty-three thousand, three hundred sixty".