72765312 has 32 divisors (see below), whose sum is σ = 193283880. Its totient is φ = 24254976.

The previous prime is 72765311. The next prime is 72765313. The reversal of 72765312 is 21356727.

It is an interprime number because it is at equal distance from previous prime (72765311) and next prime (72765313).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72765311) 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 3 ways as a sum of consecutive naturals, for example, 94363 + ... + 95130.

Almost surely, 2^72765312 is an apocalyptic number.

It is an amenable number.

72765312 is an abundant number, since it is smaller than the sum of its proper divisors (120518568).

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

72765312 is a wasteful number, since it uses less digits than its factorization.

72765312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189510 (or 189498 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 72765312 is about 8530.2586127268. The cubic root of 72765312 is about 417.4855663314.

The spelling of 72765312 in words is "seventy-two million, seven hundred sixty-five thousand, three hundred twelve".