72985840 has 40 divisors (see below), whose sum is σ = 178626960. Its totient is φ = 27657216.

The previous prime is 72985817. The next prime is 72985901. The reversal of 72985840 is 4858927.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 22489 + ... + 25528.

It is an arithmetic number, because the mean of its divisors is an integer number (4465674).

Almost surely, 2^72985840 is an apocalyptic number.

It is an amenable number.

72985840 is an abundant number, since it is smaller than the sum of its proper divisors (105641120).

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

72985840 is a wasteful number, since it uses less digits than its factorization.

72985840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48049 (or 48043 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 72985840 is about 8543.1750538076. The cubic root of 72985840 is about 417.9068953140.

The spelling of 72985840 in words is "seventy-two million, nine hundred eighty-five thousand, eight hundred forty".