72764001 has 20 divisors (see below), whose sum is σ = 109444500. Its totient is φ = 48175776.

The previous prime is 72763993. The next prime is 72764017. The reversal of 72764001 is 10046727.

It can be written as a sum of positive squares in 2 ways, for example, as 39690000 + 33074001 = 6300^2 + 5751^2 .

It is not a de Polignac number, because 72764001 - 2³ = 72763993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72764101) 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 19 ways as a sum of consecutive naturals, for example, 9055 + ... + 15083.

It is an arithmetic number, because the mean of its divisors is an integer number (5472225).

Almost surely, 2^72764001 is an apocalyptic number.

It is an amenable number.

72764001 is a deficient number, since it is larger than the sum of its proper divisors (36680499).

72764001 is a wasteful number, since it uses less digits than its factorization.

72764001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72764001 is about 8530.1817682861. The cubic root of 72764001 is about 417.4830590614.

The spelling of 72764001 in words is "seventy-two million, seven hundred sixty-four thousand, one".