257112072 has 96 divisors (see below), whose sum is σ = 808966080. Its totient is φ = 72247680.

The previous prime is 257112071. The next prime is 257112073. The reversal of 257112072 is 270211752.

257112072 is a `hidden beast` number, since 2 + 571 + 1 + 20 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (257112071) and next prime (257112073).

It is a super-2 number, since 2×257112072² = 132213235136266368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257112071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26563 + ... + 34925.

It is an arithmetic number, because the mean of its divisors is an integer number (8426730).

Almost surely, 2^257112072 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 257112072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404483040).

257112072 is an abundant number, since it is smaller than the sum of its proper divisors (551854008).

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

257112072 is a wasteful number, since it uses less digits than its factorization.

257112072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8443 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 257112072 is about 16034.7145905376. The cubic root of 257112072 is about 635.8785219513.

The spelling of 257112072 in words is "two hundred fifty-seven million, one hundred twelve thousand, seventy-two".