672264 has 24 divisors (see below), whose sum is σ = 1820910. Its totient is φ = 224064.

The previous prime is 672251. The next prime is 672271. The reversal of 672264 is 462276.

672264 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 412164 + 260100 = 642^2 + 510^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

672264 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4597 + ... + 4740.

2⁶⁷²²⁶⁴ is an apocalyptic number.

It is an amenable number.

672264 is an abundant number, since it is smaller than the sum of its proper divisors (1148646).

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

672264 is a wasteful number, since it uses less digits than its factorization.

672264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9349 (or 9342 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 672264 is about 819.9170689771. The cubic root of 672264 is about 87.6018514652.

It can be divided in two parts, 6722 and 64, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 672264 in words is "six hundred seventy-two thousand, two hundred sixty-four".