46772 has 12 divisors (see below), whose sum is σ = 89376. Its totient is φ = 21240.

The previous prime is 46771. The next prime is 46807. The reversal of 46772 is 27764.

It is a d-powerful number, because it can be written as 4² + 6⁶ + 7² + 7² + 2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46771) 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, 488 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2⁴⁶⁷⁷² is an apocalyptic number.

It is an amenable number.

46772 is a deficient number, since it is larger than the sum of its proper divisors (42604).

46772 is a wasteful number, since it uses less digits than its factorization.

46772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1076 counting only the distinct ones).

The product of its digits is 2352, while the sum is 26.

The square root of 46772 is about 216.2683518225. The cubic root of 46772 is about 36.0298106986.

It can be divided in two parts, 46 and 772, that added together give a palindrome (818).

The spelling of 46772 in words is "forty-six thousand, seven hundred seventy-two".