672516000 has 384 divisors, whose sum is σ = 2641766400. Its totient is φ = 165196800.

The previous prime is 672515999. The next prime is 672516007. The reversal of 672516000 is 615276.

672516000 is a `hidden beast` number, since 6 + 7 + 2 + 51 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (672516007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1403761 + ... + 1404239.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^672516000 is an apocalyptic number.

672516000 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 672516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320883200).

672516000 is an abundant number, since it is smaller than the sum of its proper divisors (1969250400).

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

672516000 is a wasteful number, since it uses less digits than its factorization.

672516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 672516000 is about 25932.9134498999. The cubic root of 672516000 is about 876.1279602904.

The spelling of 672516000 in words is "six hundred seventy-two million, five hundred sixteen thousand".