72627407 has 8 divisors (see below), whose sum is σ = 74753280. Its totient is φ = 70531480.

The previous prime is 72627403. The next prime is 72627409. The reversal of 72627407 is 70472627.

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

It is a cyclic number.

It is not a de Polignac number, because 72627407 - 2² = 72627403 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72627403) 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 7 ways as a sum of consecutive naturals, for example, 2519 + ... + 12312.

It is an arithmetic number, because the mean of its divisors is an integer number (9344160).

Almost surely, 2^72627407 is an apocalyptic number.

72627407 is a deficient number, since it is larger than the sum of its proper divisors (2125873).

72627407 is a wasteful number, since it uses less digits than its factorization.

72627407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14973.

The product of its (nonzero) digits is 32928, while the sum is 35.

The square root of 72627407 is about 8522.1714955755. The cubic root of 72627407 is about 417.2216596483.

The spelling of 72627407 in words is "seventy-two million, six hundred twenty-seven thousand, four hundred seven".