72652424 has 96 divisors (see below), whose sum is σ = 163053000. Its totient is φ = 30191616.

The previous prime is 72652417. The next prime is 72652427. The reversal of 72652424 is 42425627.

It can be written as a sum of positive squares in 12 ways, for example, as 4919524 + 67732900 = 2218^2 + 8230^2 .

It is not an unprimeable number, because it can be changed into a prime (72652427) 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, 666482 + ... + 666590.

Almost surely, 2^72652424 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 72652424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81526500).

72652424 is an abundant number, since it is smaller than the sum of its proper divisors (90400576).

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

72652424 is a wasteful number, since it uses less digits than its factorization.

72652424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its digits is 26880, while the sum is 32.

The square root of 72652424 is about 8523.6391289167. The cubic root of 72652424 is about 417.2695590868.

The spelling of 72652424 in words is "seventy-two million, six hundred fifty-two thousand, four hundred twenty-four".