72588048 has 80 divisors (see below), whose sum is σ = 205361856. Its totient is φ = 21957120.

The previous prime is 72588031. The next prime is 72588049. The reversal of 72588048 is 84088527.

It is not an unprimeable number, because it can be changed into a prime (72588049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37111 + ... + 39017.

Almost surely, 2^72588048 is an apocalyptic number.

72588048 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 72588048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102680928).

72588048 is an abundant number, since it is smaller than the sum of its proper divisors (132773808).

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

72588048 is a wasteful number, since it uses less digits than its factorization.

72588048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1986 counting only the distinct ones).

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

The square root of 72588048 is about 8519.8619707129. The cubic root of 72588048 is about 417.1462776619.

The spelling of 72588048 in words is "seventy-two million, five hundred eighty-eight thousand, forty-eight".