672719040 has 448 divisors, whose sum is σ = 2779776000. Its totient is φ = 153086976.

The previous prime is 672719039. The next prime is 672719051. The reversal of 672719040 is 40917276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 672718986 and 672719004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963407 + ... + 2963633.

Almost surely, 2^672719040 is an apocalyptic number.

672719040 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 672719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389888000).

672719040 is an abundant number, since it is smaller than the sum of its proper divisors (2107056960).

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

672719040 is a wasteful number, since it uses less digits than its factorization.

672719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 244 counting only the distinct ones).

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

The square root of 672719040 is about 25936.8278708095. The cubic root of 672719040 is about 876.2161223177.

The spelling of 672719040 in words is "six hundred seventy-two million, seven hundred nineteen thousand, forty".