672879312 has 200 divisors, whose sum is σ = 2357188416. Its totient is φ = 180900864.

The previous prime is 672879301. The next prime is 672879313. The reversal of 672879312 is 213978276.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672879313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152043 + ... + 156405.

Almost surely, 2^672879312 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 672879312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178594208).

672879312 is an abundant number, since it is smaller than the sum of its proper divisors (1684309104).

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

672879312 is a wasteful number, since it uses less digits than its factorization.

672879312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407 (or 4392 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 672879312 is about 25939.9173475938. The cubic root of 672879312 is about 876.2857015184.

The spelling of 672879312 in words is "six hundred seventy-two million, eight hundred seventy-nine thousand, three hundred twelve".