72052824 has 32 divisors (see below), whose sum is σ = 181350000. Its totient is φ = 23855232.

The previous prime is 72052823. The next prime is 72052829. The reversal of 72052824 is 42825027.

It is a junction number, because it is equal to n+sod(n) for n = 72052791 and 72052800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72052823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6499 + ... + 13650.

Almost surely, 2^72052824 is an apocalyptic number.

It is an amenable number.

72052824 is an abundant number, since it is smaller than the sum of its proper divisors (109297176).

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

72052824 is a wasteful number, since it uses less digits than its factorization.

72052824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20307 (or 20303 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 72052824 is about 8488.3934875806. The cubic root of 72052824 is about 416.1184789506.

The spelling of 72052824 in words is "seventy-two million, fifty-two thousand, eight hundred twenty-four".