72965000 has 40 divisors (see below), whose sum is σ = 170968710. Its totient is φ = 29184000.

The previous prime is 72964981. The next prime is 72965017. The reversal of 72965000 is 56927.

It can be written as a sum of positive squares in 5 ways, for example, as 1359556 + 71605444 = 1166^2 + 8462^2 .

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

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2297 + ... + 12296.

Almost surely, 2^72965000 is an apocalyptic number.

It is an amenable number.

72965000 is an abundant number, since it is smaller than the sum of its proper divisors (98003710).

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

72965000 is a wasteful number, since it uses less digits than its factorization.

72965000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14619 (or 14600 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 72965000 is about 8541.9552796769. The cubic root of 72965000 is about 417.8671158684.

The spelling of 72965000 in words is "seventy-two million, nine hundred sixty-five thousand".