72668288 has 128 divisors (see below), whose sum is σ = 184775040. Its totient is φ = 27648000.

The previous prime is 72668279. The next prime is 72668303. The reversal of 72668288 is 88286627.

72668288 = T₂₅₇ + T₂₅₈ + ... + T₇₆₇.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719438 + ... + 719538.

It is an arithmetic number, because the mean of its divisors is an integer number (1443555).

Almost surely, 2^72668288 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 72668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92387520).

72668288 is an abundant number, since it is smaller than the sum of its proper divisors (112106752).

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

72668288 is a wasteful number, since it uses less digits than its factorization.

72668288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its digits is 516096, while the sum is 47.

The square root of 72668288 is about 8524.5696665580. The cubic root of 72668288 is about 417.2999278030.

The spelling of 72668288 in words is "seventy-two million, six hundred sixty-eight thousand, two hundred eighty-eight".