763272 has 24 divisors (see below), whose sum is σ = 2067390. Its totient is φ = 254400.

The previous prime is 763271. The next prime is 763303. The reversal of 763272 is 272367.

It can be written as a sum of positive squares in only one way, i.e., 527076 + 236196 = 726^2 + 486^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (763271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5229 + ... + 5372.

2⁷⁶³²⁷² is an apocalyptic number.

763272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

763272 is an abundant number, since it is smaller than the sum of its proper divisors (1304118).

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

763272 is a wasteful number, since it uses less digits than its factorization.

763272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10613 (or 10606 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 763272 is about 873.6543939110. The cubic root of 763272 is about 91.3888285229.

It can be divided in two parts, 763 and 272, that added together give a triangular number (1035 = T₄₅).

The spelling of 763272 in words is "seven hundred sixty-three thousand, two hundred seventy-two".