72525824 has 48 divisors (see below), whose sum is σ = 165765600. Its totient is φ = 31076352.

The previous prime is 72525823. The next prime is 72525829. The reversal of 72525824 is 42852527.

It is not an unprimeable number, because it can be changed into a prime (72525823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11807 + ... + 16865.

It is an arithmetic number, because the mean of its divisors is an integer number (3453450).

Almost surely, 2^72525824 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 72525824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82882800).

72525824 is an abundant number, since it is smaller than the sum of its proper divisors (93239776).

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

72525824 is an equidigital number, since it uses as much as digits as its factorization.

72525824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 5068 counting only the distinct ones).

The product of its digits is 44800, while the sum is 35.

The square root of 72525824 is about 8516.2094854460. The cubic root of 72525824 is about 417.0270480685.

The spelling of 72525824 in words is "seventy-two million, five hundred twenty-five thousand, eight hundred twenty-four".