72952824 has 32 divisors (see below), whose sum is σ = 208437120. Its totient is φ = 20843616.

The previous prime is 72952823. The next prime is 72952853. The reversal of 72952824 is 42825927.

It is a super-2 number, since 2×72952824² = 10644229059149952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72952823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216954 + ... + 217289.

It is an arithmetic number, because the mean of its divisors is an integer number (6513660).

Almost surely, 2^72952824 is an apocalyptic number.

It is an amenable number.

72952824 is an abundant number, since it is smaller than the sum of its proper divisors (135484296).

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

72952824 is a wasteful number, since it uses less digits than its factorization.

72952824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434259 (or 434255 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 72952824 is about 8541.2425325593. The cubic root of 72952824 is about 417.8438707827.

The spelling of 72952824 in words is "seventy-two million, nine hundred fifty-two thousand, eight hundred twenty-four".