252672000 has 384 divisors, whose sum is σ = 981227520. Its totient is φ = 56524800.

The previous prime is 252671987. The next prime is 252672011. The reversal of 252672000 is 276252.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375977 + ... + 5376023.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 2^252672000 is an apocalyptic number.

252672000 is a gapful number since it is divisible by the number (20) 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 252672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490613760).

252672000 is an abundant number, since it is smaller than the sum of its proper divisors (728555520).

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

252672000 is an equidigital number, since it uses as much as digits as its factorization.

252672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 252672000 is about 15895.6597849853. The cubic root of 252672000 is about 632.1969156198.

The spelling of 252672000 in words is "two hundred fifty-two million, six hundred seventy-two thousand".