72688627 has 8 divisors (see below), whose sum is σ = 79358832. Its totient is φ = 66028800.

The previous prime is 72688621. The next prime is 72688643.

72688627 is nontrivially palindromic in base 10.

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 72688627 - 2¹⁵ = 72655859 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72688621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23643 + ... + 26539.

It is an arithmetic number, because the mean of its divisors is an integer number (9919854).

Almost surely, 2^72688627 is an apocalyptic number.

72688627 is a deficient number, since it is larger than the sum of its proper divisors (6670205).

72688627 is a wasteful number, since it uses less digits than its factorization.

72688627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189.

The product of its digits is 451584, while the sum is 46.

The square root of 72688627 is about 8525.7625465409. The cubic root of 72688627 is about 417.3388566202.

The spelling of 72688627 in words is "seventy-two million, six hundred eighty-eight thousand, six hundred twenty-seven".