672132072 has 64 divisors (see below), whose sum is σ = 1749628800. Its totient is φ = 214905600.

The previous prime is 672132053. The next prime is 672132089. The reversal of 672132072 is 270231276.

It is a super-2 number, since 2×672132072² = 903523044422026368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106197 + ... + 112347.

It is an arithmetic number, because the mean of its divisors is an integer number (27337950).

Almost surely, 2^672132072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672132072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874814400).

672132072 is an abundant number, since it is smaller than the sum of its proper divisors (1077496728).

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

672132072 is a wasteful number, since it uses less digits than its factorization.

672132072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6346 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 672132072 is about 25925.5100624848. The cubic root of 672132072 is about 875.9612063469.

The spelling of 672132072 in words is "six hundred seventy-two million, one hundred thirty-two thousand, seventy-two".