72412824 has 64 divisors (see below), whose sum is σ = 200880000. Its totient is φ = 21566720.

The previous prime is 72412801. The next prime is 72412831. The reversal of 72412824 is 42821427.

It is a junction number, because it is equal to n+sod(n) for n = 72412791 and 72412800.

It is a congruent number.

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, 13252 + ... + 17900.

It is an arithmetic number, because the mean of its divisors is an integer number (3138750).

Almost surely, 2^72412824 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 72412824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100440000).

72412824 is an abundant number, since it is smaller than the sum of its proper divisors (128467176).

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

72412824 is a wasteful number, since it uses less digits than its factorization.

72412824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4724 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 72412824 is about 8509.5724921996. The cubic root of 72412824 is about 416.8103503041.

The spelling of 72412824 in words is "seventy-two million, four hundred twelve thousand, eight hundred twenty-four".