45772 has 6 divisors (see below), whose sum is σ = 80108. Its totient is φ = 22884.

The previous prime is 45767. The next prime is 45779. The reversal of 45772 is 27754.

45772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (45779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5718 + ... + 5725.

2⁴⁵⁷⁷² is an apocalyptic number.

It is an amenable number.

45772 is a deficient number, since it is larger than the sum of its proper divisors (34336).

45772 is a wasteful number, since it uses less digits than its factorization.

45772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11447 (or 11445 counting only the distinct ones).

The product of its digits is 1960, while the sum is 25.

The square root of 45772 is about 213.9439178850. The cubic root of 45772 is about 35.7711824520.

It can be divided in two parts, 457 and 72, that added together give a square (529 = 23²).

The spelling of 45772 in words is "forty-five thousand, seven hundred seventy-two".