727672 has 16 divisors (see below), whose sum is σ = 1488600. Its totient is φ = 330720.

The previous prime is 727667. The next prime is 727673. The reversal of 727672 is 276727.

727672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727673) 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, 4047 + ... + 4222.

2⁷²⁷⁶⁷² is an apocalyptic number.

It is an amenable number.

727672 is an abundant number, since it is smaller than the sum of its proper divisors (760928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

727672 is a wasteful number, since it uses less digits than its factorization.

727672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8286 (or 8282 counting only the distinct ones).

The product of its digits is 8232, while the sum is 31.

The square root of 727672 is about 853.0369276884. The cubic root of 727672 is about 89.9453165757.

It can be divided in two parts, 72 and 7672, that added together give a square (7744 = 88²).

The spelling of 727672 in words is "seven hundred twenty-seven thousand, six hundred seventy-two".