258072000 has 112 divisors (see below), whose sum is σ = 852232992. Its totient is φ = 68812800.

The previous prime is 258071981. The next prime is 258072043. The reversal of 258072000 is 270852.

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 15 ways as a sum of consecutive naturals, for example, 18624 + ... + 29376.

Almost surely, 2^258072000 is an apocalyptic number.

258072000 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 258072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426116496).

258072000 is an abundant number, since it is smaller than the sum of its proper divisors (594160992).

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

258072000 is a wasteful number, since it uses less digits than its factorization.

258072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10783 (or 10763 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 258072000 is about 16064.6195099666. The cubic root of 258072000 is about 636.6688900385.

The spelling of 258072000 in words is "two hundred fifty-eight million, seventy-two thousand".