72528048 has 100 divisors (see below), whose sum is σ = 211736448. Its totient is φ = 23967360.

The previous prime is 72528041. The next prime is 72528059. The reversal of 72528048 is 84082527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72528041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 247390 + ... + 247682.

Almost surely, 2^72528048 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 72528048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105868224).

72528048 is an abundant number, since it is smaller than the sum of its proper divisors (139208400).

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

72528048 is a wasteful number, since it uses less digits than its factorization.

72528048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 72528048 is about 8516.3400589690. The cubic root of 72528048 is about 417.0313107280.

The spelling of 72528048 in words is "seventy-two million, five hundred twenty-eight thousand, forty-eight".