72620667 has 24 divisors (see below), whose sum is σ = 120105440. Its totient is φ = 41420160.

The previous prime is 72620629. The next prime is 72620731. The reversal of 72620667 is 76602627.

It is not a de Polignac number, because 72620667 - 2⁷ = 72620539 is a prime.

It is a super-2 number, since 2×72620667² = 10547522551049778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72620567) 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 23 ways as a sum of consecutive naturals, for example, 63759 + ... + 64887.

Almost surely, 2^72620667 is an apocalyptic number.

72620667 is a deficient number, since it is larger than the sum of its proper divisors (47484773).

72620667 is a wasteful number, since it uses less digits than its factorization.

72620667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 72620667 is about 8521.7760472803. The cubic root of 72620667 is about 417.2087528541.

The spelling of 72620667 in words is "seventy-two million, six hundred twenty thousand, six hundred sixty-seven".