72508820 has 24 divisors (see below), whose sum is σ = 152665128. Its totient is φ = 28928000.

The previous prime is 72508801. The next prime is 72508829. The reversal of 72508820 is 2880527.

It can be written as a sum of positive squares in 4 ways, for example, as 52330756 + 20178064 = 7234^2 + 4492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72508829) 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, 3500 + ... + 12540.

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

Almost surely, 2^72508820 is an apocalyptic number.

It is an amenable number.

72508820 is an abundant number, since it is smaller than the sum of its proper divisors (80156308).

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

72508820 is a wasteful number, since it uses less digits than its factorization.

72508820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9451 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 72508820 is about 8515.2110954456. The cubic root of 72508820 is about 416.9944542429.

The spelling of 72508820 in words is "seventy-two million, five hundred eight thousand, eight hundred twenty".