72917667 has 6 divisors (see below), whose sum is σ = 105325532. Its totient is φ = 48611772.

The previous prime is 72917653. The next prime is 72917671. The reversal of 72917667 is 76671927.

It is not a de Polignac number, because 72917667 - 2¹² = 72913571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72912667) 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 5 ways as a sum of consecutive naturals, for example, 4050973 + ... + 4050990.

Almost surely, 2^72917667 is an apocalyptic number.

72917667 is a deficient number, since it is larger than the sum of its proper divisors (32407865).

72917667 is a wasteful number, since it uses less digits than its factorization.

72917667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8101969 (or 8101966 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 72917667 is about 8539.1842116212. The cubic root of 72917667 is about 417.7767383694.

The spelling of 72917667 in words is "seventy-two million, nine hundred seventeen thousand, six hundred sixty-seven".