672752000 has 128 divisors (see below), whose sum is σ = 1761458400. Its totient is φ = 254822400.

The previous prime is 672751969. The next prime is 672752009. The reversal of 672752000 is 257276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672752009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302894 + ... + 305106.

Almost surely, 2^672752000 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 672752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880729200).

672752000 is an abundant number, since it is smaller than the sum of its proper divisors (1088706400).

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

672752000 is a wasteful number, since it uses less digits than its factorization.

672752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 672752000 is about 25937.4632529860. The cubic root of 672752000 is about 876.2304322104.

The spelling of 672752000 in words is "six hundred seventy-two million, seven hundred fifty-two thousand".