40772 has 6 divisors (see below), whose sum is σ = 71358. Its totient is φ = 20384.

The previous prime is 40771. The next prime is 40787. The reversal of 40772 is 27704.

40772 is nontrivially palindromic in base 3.

40772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37636 + 3136 = 194^2 + 56^2 .

It is a super-3 number, since 3×40772³ = 203332734538944, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (40771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5093 + ... + 5100.

It is an arithmetic number, because the mean of its divisors is an integer number (11893).

2⁴⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

40772 is a deficient number, since it is larger than the sum of its proper divisors (30586).

40772 is a wasteful number, since it uses less digits than its factorization.

40772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10197 (or 10195 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 40772 is about 201.9207765437. The cubic root of 40772 is about 34.4181353807.

The spelling of 40772 in words is "forty thousand, seven hundred seventy-two", and thus it is an iban number.