72900667 has 8 divisors (see below), whose sum is σ = 83972096. Its totient is φ = 61993512.

The previous prime is 72900661. The next prime is 72900671. The reversal of 72900667 is 76600927.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72900667 - 2¹¹ = 72898619 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72900661) 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 7 ways as a sum of consecutive naturals, for example, 40113 + ... + 41890.

It is an arithmetic number, because the mean of its divisors is an integer number (10496512).

Almost surely, 2^72900667 is an apocalyptic number.

72900667 is a deficient number, since it is larger than the sum of its proper divisors (11071429).

72900667 is a wasteful number, since it uses less digits than its factorization.

72900667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82137.

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 72900667 is about 8538.1887423505. The cubic root of 72900667 is about 417.7442690705.

The spelling of 72900667 in words is "seventy-two million, nine hundred thousand, six hundred sixty-seven".