75772 has 12 divisors (see below), whose sum is σ = 139720. Its totient is φ = 35856.

The previous prime is 75767. The next prime is 75773. The reversal of 75772 is 27757.

It is a happy number.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 75772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75773) by changing a digit.

75772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 423 + ... + 574.

2⁷⁵⁷⁷² is an apocalyptic number.

It is an amenable number.

75772 is a deficient number, since it is larger than the sum of its proper divisors (63948).

75772 is a wasteful number, since it uses less digits than its factorization.

75772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1018 counting only the distinct ones).

The product of its digits is 3430, while the sum is 28.

The square root of 75772 is about 275.2671429721. The cubic root of 75772 is about 42.3158351777.

It can be divided in two parts, 7 and 5772, that multiplied together give a palindrome (40404).

The spelling of 75772 in words is "seventy-five thousand, seven hundred seventy-two".