72627 has 8 divisors (see below), whose sum is σ = 99264. Its totient is φ = 47208.

The previous prime is 72623. The next prime is 72643.

72627 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 72627 - 2² = 72623 is a prime.

It is a super-2 number, since 2×72627² = 10549362258, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 72597 and 72606.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72627.

It is not an unprimeable number, because it can be changed into a prime (72623) 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, 153 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (12408).

2⁷²⁶²⁷ is an apocalyptic number.

72627 is a deficient number, since it is larger than the sum of its proper divisors (26637).

72627 is a wasteful number, since it uses less digits than its factorization.

72627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609.

The product of its digits is 1176, while the sum is 24.

The square root of 72627 is about 269.4939702479. The cubic root of 72627 is about 41.7220880284.

The spelling of 72627 in words is "seventy-two thousand, six hundred twenty-seven".