72989200 has 30 divisors (see below), whose sum is σ = 175357514. Its totient is φ = 29195520.

The previous prime is 72989173. The next prime is 72989209. The reversal of 72989200 is 298927.

It can be written as a sum of positive squares in 3 ways, for example, as 24324624 + 48664576 = 4932^2 + 6976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72989200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72989209) 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 5 ways as a sum of consecutive naturals, for example, 90837 + ... + 91636.

Almost surely, 2^72989200 is an apocalyptic number.

It is an amenable number.

72989200 is an abundant number, since it is smaller than the sum of its proper divisors (102368314).

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

72989200 is a wasteful number, since it uses less digits than its factorization.

72989200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182491 (or 182480 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 72989200 is about 8543.3716997448. The cubic root of 72989200 is about 417.9133081818.

The spelling of 72989200 in words is "seventy-two million, nine hundred eighty-nine thousand, two hundred".