72288528 has 160 divisors (see below), whose sum is σ = 215319552. Its totient is φ = 20736000.

The previous prime is 72288509. The next prime is 72288533. The reversal of 72288528 is 82588227.

It is a self number, because there is not a number n which added to its sum of digits gives 72288528.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715678 + ... + 715778.

Almost surely, 2^72288528 is an apocalyptic number.

72288528 is a gapful number since it is divisible by the number (78) 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 72288528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107659776).

72288528 is an abundant number, since it is smaller than the sum of its proper divisors (143031024).

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

72288528 is a wasteful number, since it uses less digits than its factorization.

72288528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 72288528 is about 8502.2660508831. The cubic root of 72288528 is about 416.5717299082.

The spelling of 72288528 in words is "seventy-two million, two hundred eighty-eight thousand, five hundred twenty-eight".