76672 has 16 divisors (see below), whose sum is σ = 153000. Its totient is φ = 38272.

The previous prime is 76667. The next prime is 76673. The reversal of 76672 is 27667.

It is a tau number, because it is divible by the number of its divisors (16).

It is a self number, because there is not a number n which added to its sum of digits gives 76672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76673) by changing a digit.

76672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172 + ... + 427.

2⁷⁶⁶⁷² is an apocalyptic number.

It is an amenable number.

76672 is a deficient number, since it is larger than the sum of its proper divisors (76328).

76672 is an equidigital number, since it uses as much as digits as its factorization.

76672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 601 counting only the distinct ones).

The product of its digits is 3528, while the sum is 28.

The square root of 76672 is about 276.8970927980. The cubic root of 76672 is about 42.4827150010.

Adding to 76672 its product of digits (3528), we get a triangular number (80200 = T₄₀₀).

It can be divided in two parts, 766 and 72, that added together give a palindrome (838).

The spelling of 76672 in words is "seventy-six thousand, six hundred seventy-two".