72677 has 4 divisors (see below), whose sum is σ = 79296. Its totient is φ = 66060.

The previous prime is 72673. The next prime is 72679. The reversal of 72677 is 77627.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 77627 = 11 ⋅7057.

It is a cyclic number.

It is not a de Polignac number, because 72677 - 2² = 72673 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72677.

It is not an unprimeable number, because it can be changed into a prime (72671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3293 + ... + 3314.

It is an arithmetic number, because the mean of its divisors is an integer number (19824).

2⁷²⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

72677 is a deficient number, since it is larger than the sum of its proper divisors (6619).

72677 is a wasteful number, since it uses less digits than its factorization.

72677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6618.

The product of its digits is 4116, while the sum is 29.

The square root of 72677 is about 269.5867207412. The cubic root of 72677 is about 41.7316603448.

Subtracting 72677 from its reverse (77627), we obtain a triangular number (4950 = T₉₉).

The spelling of 72677 in words is "seventy-two thousand, six hundred seventy-seven".