672756120 has 96 divisors (see below), whose sum is σ = 2233033920. Its totient is φ = 175580160.

The previous prime is 672756109. The next prime is 672756127. The reversal of 672756120 is 21657276.

672756120 is a `hidden beast` number, since 6 + 72 + 7 + 561 + 20 = 666.

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 (672756127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2961 + ... + 36800.

It is an arithmetic number, because the mean of its divisors is an integer number (23260770).

Almost surely, 2^672756120 is an apocalyptic number.

672756120 is a gapful number since it is divisible by the number (60) 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 672756120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116516960).

672756120 is an abundant number, since it is smaller than the sum of its proper divisors (1560277800).

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

672756120 is a wasteful number, since it uses less digits than its factorization.

672756120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39825 (or 39818 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 672756120 is about 25937.5426746637. The cubic root of 672756120 is about 876.2322209141.

The spelling of 672756120 in words is "six hundred seventy-two million, seven hundred fifty-six thousand, one hundred twenty".