672406272 has 144 divisors (see below), whose sum is σ = 2014648160. Its totient is φ = 223948800.

The previous prime is 672406271. The next prime is 672406279. The reversal of 672406272 is 272604276.

672406272 is a `hidden beast` number, since 6 + 7 + 24 + 0 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672406271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559272 + ... + 560472.

Almost surely, 2^672406272 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 672406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007324080).

672406272 is an abundant number, since it is smaller than the sum of its proper divisors (1342241888).

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

672406272 is an frugal number, since it uses more digits than its factorization.

672406272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 672406272 is about 25930.7977509370. The cubic root of 672406272 is about 876.0803078936.

The spelling of 672406272 in words is "six hundred seventy-two million, four hundred six thousand, two hundred seventy-two".