672729120 has 144 divisors (see below), whose sum is σ = 2623682880. Its totient is φ = 153764352.

The previous prime is 672729119. The next prime is 672729149. The reversal of 672729120 is 21927276.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23290 + ... + 43449.

It is an arithmetic number, because the mean of its divisors is an integer number (18220020).

Almost surely, 2^672729120 is an apocalyptic number.

672729120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

672729120 is an abundant number, since it is smaller than the sum of its proper divisors (1950953760).

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

672729120 is a wasteful number, since it uses less digits than its factorization.

672729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66767 (or 66756 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 672729120 is about 25937.0221883700. The cubic root of 672729120 is about 876.2204986937.

The spelling of 672729120 in words is "six hundred seventy-two million, seven hundred twenty-nine thousand, one hundred twenty".