72677627 has 8 divisors (see below), whose sum is σ = 79350960. Its totient is φ = 66015360.

The previous prime is 72677623. The next prime is 72677653.

72677627 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 72677627 - 2² = 72677623 is a prime.

It is a super-2 number, since 2×72677627² = 10564074932702258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72677623) 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, 17399 + ... + 21167.

It is an arithmetic number, because the mean of its divisors is an integer number (9918870).

Almost surely, 2^72677627 is an apocalyptic number.

72677627 is a deficient number, since it is larger than the sum of its proper divisors (6673333).

72677627 is a wasteful number, since it uses less digits than its factorization.

72677627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533.

The product of its digits is 345744, while the sum is 44.

The square root of 72677627 is about 8525.1174185462. The cubic root of 72677627 is about 417.3178035376.

The spelling of 72677627 in words is "seventy-two million, six hundred seventy-seven thousand, six hundred twenty-seven".