72289250 has 64 divisors (see below), whose sum is σ = 149700096. Its totient is φ = 25920000.

The previous prime is 72289249. The next prime is 72289267. The reversal of 72289250 is 5298227.

72289250 = T₂₆₈ + T₂₆₉ + ... + T₇₆₇.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72289250.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266615 + ... + 266885.

It is an arithmetic number, because the mean of its divisors is an integer number (2339064).

Almost surely, 2^72289250 is an apocalyptic number.

72289250 is an abundant number, since it is smaller than the sum of its proper divisors (77410846).

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

72289250 is a wasteful number, since it uses less digits than its factorization.

72289250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 386 counting only the distinct ones).

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

The square root of 72289250 is about 8502.3085100460. The cubic root of 72289250 is about 416.5731167756.

The spelling of 72289250 in words is "seventy-two million, two hundred eighty-nine thousand, two hundred fifty".