24772 has 12 divisors (see below), whose sum is σ = 47376. Its totient is φ = 11240.

The previous prime is 24767. The next prime is 24781. The reversal of 24772 is 27742.

It is a super-2 number, since 2×24772² = 1227303968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238 + ... + 325.

It is an arithmetic number, because the mean of its divisors is an integer number (3948).

2²⁴⁷⁷² is an apocalyptic number.

24772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

24772 is a deficient number, since it is larger than the sum of its proper divisors (22604).

24772 is a wasteful number, since it uses less digits than its factorization.

24772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 576 counting only the distinct ones).

The product of its digits is 784, while the sum is 22.

The square root of 24772 is about 157.3912322844. The cubic root of 24772 is about 29.1510156393.

It can be divided in two parts, 24 and 772, that multiplied together give a triangular number (18528 = T₁₉₂).

The spelling of 24772 in words is "twenty-four thousand, seven hundred seventy-two", and thus it is an iban number.