762252 has 12 divisors (see below), whose sum is σ = 1778616. Its totient is φ = 254080.

The previous prime is 762241. The next prime is 762253. The reversal of 762252 is 252267.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×762252² = 1162056223008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (762253) 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, 31749 + ... + 31772.

It is an arithmetic number, because the mean of its divisors is an integer number (148218).

2⁷⁶²²⁵² is an apocalyptic number.

It is an amenable number.

762252 is an abundant number, since it is smaller than the sum of its proper divisors (1016364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

762252 is a wasteful number, since it uses less digits than its factorization.

762252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63528 (or 63526 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 762252 is about 873.0704438933. The cubic root of 762252 is about 91.3481011634.

The spelling of 762252 in words is "seven hundred sixty-two thousand, two hundred fifty-two".