672084000 has 576 divisors, whose sum is σ = 2868203520. Its totient is φ = 152409600.

The previous prime is 672083983. The next prime is 672084011. The reversal of 672084000 is 480276.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5291937 + ... + 5292063.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2^672084000 is an apocalyptic number.

672084000 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 672084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434101760).

672084000 is an abundant number, since it is smaller than the sum of its proper divisors (2196119520).

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

672084000 is a wasteful number, since it uses less digits than its factorization.

672084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 672084000 is about 25924.5829281784. The cubic root of 672084000 is about 875.9403224498.

The spelling of 672084000 in words is "six hundred seventy-two million, eighty-four thousand".