72631667 has 16 divisors (see below), whose sum is σ = 79828992. Its totient is φ = 65784960.

The previous prime is 72631649. The next prime is 72631673. The reversal of 72631667 is 76613627.

It is a cyclic number.

It is not a de Polignac number, because 72631667 - 2⁸ = 72631411 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72631667.

It is not an unprimeable number, because it can be changed into a prime (72631267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148898 + ... + 149384.

It is an arithmetic number, because the mean of its divisors is an integer number (4989312).

Almost surely, 2^72631667 is an apocalyptic number.

72631667 is a deficient number, since it is larger than the sum of its proper divisors (7197325).

72631667 is a wasteful number, since it uses less digits than its factorization.

72631667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818.

The product of its digits is 63504, while the sum is 38.

The square root of 72631667 is about 8522.4214282092. The cubic root of 72631667 is about 417.2298169431.

The spelling of 72631667 in words is "seventy-two million, six hundred thirty-one thousand, six hundred sixty-seven".