72765040 has 40 divisors (see below), whose sum is σ = 169743600. Its totient is φ = 29008896.

The previous prime is 72765023. The next prime is 72765047. The reversal of 72765040 is 4056727.

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

It is a junction number, because it is equal to n+sod(n) for n = 72764993 and 72765011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72765047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25611 + ... + 28309.

It is an arithmetic number, because the mean of its divisors is an integer number (4243590).

Almost surely, 2^72765040 is an apocalyptic number.

It is an amenable number.

72765040 is an abundant number, since it is smaller than the sum of its proper divisors (96978560).

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

72765040 is a wasteful number, since it uses less digits than its factorization.

72765040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 72765040 is about 8530.2426694673. The cubic root of 72765040 is about 417.4850461375.

The spelling of 72765040 in words is "seventy-two million, seven hundred sixty-five thousand, forty".