257190072 has 16 divisors (see below), whose sum is σ = 642975240. Its totient is φ = 85730016.

The previous prime is 257190053. The next prime is 257190077. The reversal of 257190072 is 270091752.

257190072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257190072² = 132293466270730368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257190077) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5358103 + ... + 5358150.

Almost surely, 2^257190072 is an apocalyptic number.

It is an amenable number.

257190072 is an abundant number, since it is smaller than the sum of its proper divisors (385785168).

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

257190072 is a wasteful number, since it uses less digits than its factorization.

257190072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10716262 (or 10716258 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 257190072 is about 16037.1466289986. The cubic root of 257190072 is about 635.9428175321.

The spelling of 257190072 in words is "two hundred fifty-seven million, one hundred ninety thousand, seventy-two".