72541524 has 48 divisors (see below), whose sum is σ = 188153280. Its totient is φ = 21565440.

The previous prime is 72541523. The next prime is 72541529. The reversal of 72541524 is 42514527.

It is a junction number, because it is equal to n+sod(n) for n = 72541491 and 72541500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72541523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1812 + ... + 12180.

It is an arithmetic number, because the mean of its divisors is an integer number (3919860).

Almost surely, 2^72541524 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 72541524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94076640).

72541524 is an abundant number, since it is smaller than the sum of its proper divisors (115611756).

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

72541524 is a wasteful number, since it uses less digits than its factorization.

72541524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10440 (or 10438 counting only the distinct ones).

The product of its digits is 11200, while the sum is 30.

The square root of 72541524 is about 8517.1312071612. The cubic root of 72541524 is about 417.0571378209.

It can be divided in two parts, 7254 and 1524, that added together give a palindrome (8778).

The spelling of 72541524 in words is "seventy-two million, five hundred forty-one thousand, five hundred twenty-four".