72760467 has 16 divisors (see below), whose sum is σ = 106450848. Its totient is φ = 43929600.

The previous prime is 72760439. The next prime is 72760469. The reversal of 72760467 is 76406727.

It is a happy number.

It is not a de Polignac number, because 72760467 - 2²⁰ = 71711891 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (72760469) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15534 + ... + 19667.

It is an arithmetic number, because the mean of its divisors is an integer number (6653178).

Almost surely, 2^72760467 is an apocalyptic number.

72760467 is a deficient number, since it is larger than the sum of its proper divisors (33690381).

72760467 is a wasteful number, since it uses less digits than its factorization.

72760467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35270.

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 72760467 is about 8529.9746189540. The cubic root of 72760467 is about 417.4763001834.

The spelling of 72760467 in words is "seventy-two million, seven hundred sixty thousand, four hundred sixty-seven".