72857424 has 80 divisors (see below), whose sum is σ = 193737600. Its totient is φ = 23585280.

The previous prime is 72857413. The next prime is 72857429. The reversal of 72857424 is 42475827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72857429) 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, 436189 + ... + 436355.

It is an arithmetic number, because the mean of its divisors is an integer number (2421720).

Almost surely, 2^72857424 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 72857424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96868800).

72857424 is an abundant number, since it is smaller than the sum of its proper divisors (120880176).

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

72857424 is a wasteful number, since it uses less digits than its factorization.

72857424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its digits is 125440, while the sum is 39.

The square root of 72857424 is about 8535.6560380559. The cubic root of 72857424 is about 417.6616539672.

The spelling of 72857424 in words is "seventy-two million, eight hundred fifty-seven thousand, four hundred twenty-four".