258120072 has 96 divisors (see below), whose sum is σ = 801290880. Its totient is φ = 73532160.

The previous prime is 258120011. The next prime is 258120077. The reversal of 258120072 is 270021852.

It is not an unprimeable number, because it can be changed into a prime (258120077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262093 + ... + 263075.

It is an arithmetic number, because the mean of its divisors is an integer number (8346780).

Almost surely, 2^258120072 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 258120072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400645440).

258120072 is an abundant number, since it is smaller than the sum of its proper divisors (543170808).

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

258120072 is a wasteful number, since it uses less digits than its factorization.

258120072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 258120072 is about 16066.1156475360. The cubic root of 258120072 is about 636.7084191192.

The spelling of 258120072 in words is "two hundred fifty-eight million, one hundred twenty thousand, seventy-two".