72592820 has 24 divisors (see below), whose sum is σ = 152665128. Its totient is φ = 28995200.

The previous prime is 72592813. The next prime is 72592847. The reversal of 72592820 is 2829527.

It can be written as a sum of positive squares in 4 ways, for example, as 10214416 + 62378404 = 3196^2 + 7898^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14210 + ... + 18630.

It is an arithmetic number, because the mean of its divisors is an integer number (6361047).

Almost surely, 2^72592820 is an apocalyptic number.

It is an amenable number.

72592820 is an abundant number, since it is smaller than the sum of its proper divisors (80072308).

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

72592820 is a wasteful number, since it uses less digits than its factorization.

72592820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5251 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 72592820 is about 8520.1420175957. The cubic root of 72592820 is about 417.1554186452.

The spelling of 72592820 in words is "seventy-two million, five hundred ninety-two thousand, eight hundred twenty".