72524844 has 72 divisors (see below), whose sum is σ = 212226560. Its totient is φ = 20453472.

The previous prime is 72524827. The next prime is 72524849. The reversal of 72524844 is 44842527.

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

It is a junction number, because it is equal to n+sod(n) for n = 72524799 and 72524808.

It is not an unprimeable number, because it can be changed into a prime (72524849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18087 + ... + 21729.

Almost surely, 2^72524844 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 72524844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106113280).

72524844 is an abundant number, since it is smaller than the sum of its proper divisors (139701716).

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

72524844 is a wasteful number, since it uses less digits than its factorization.

72524844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3734 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 72524844 is about 8516.1519479164. The cubic root of 72524844 is about 417.0251697107.

The spelling of 72524844 in words is "seventy-two million, five hundred twenty-four thousand, eight hundred forty-four".