72379524 has 48 divisors (see below), whose sum is σ = 194432000. Its totient is φ = 20527776.

The previous prime is 72379519. The next prime is 72379537. The reversal of 72379524 is 42597327.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8577 + ... + 14775.

Almost surely, 2^72379524 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 72379524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97216000).

72379524 is an abundant number, since it is smaller than the sum of its proper divisors (122052476).

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

72379524 is a wasteful number, since it uses less digits than its factorization.

72379524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352 (or 6350 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 72379524 is about 8507.6156471717. The cubic root of 72379524 is about 416.7464485804.

It can be divided in two parts, 7237 and 9524, that added together give a palindrome (16761).

The spelling of 72379524 in words is "seventy-two million, three hundred seventy-nine thousand, five hundred twenty-four".