672266304 has 126 divisors (see below), whose sum is σ = 2002190814. Its totient is φ = 223948800.

The previous prime is 672266297. The next prime is 672266311. The reversal of 672266304 is 403662276.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (672266297) and next prime (672266311).

It can be written as a sum of positive squares in only one way, i.e., 671846400 + 419904 = 25920^2 + 648^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419104 + ... + 420704.

Almost surely, 2^672266304 is an apocalyptic number.

672266304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672266304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001095407).

672266304 is an abundant number, since it is smaller than the sum of its proper divisors (1329924510).

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

672266304 is an frugal number, since it uses more digits than its factorization.

672266304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 672266304 is about 25928.0987347704. The cubic root of 672266304 is about 876.0195154219.

The spelling of 672266304 in words is "six hundred seventy-two million, two hundred sixty-six thousand, three hundred four".