256072125 has 32 divisors (see below), whose sum is σ = 429945984. Its totient is φ = 135340800.

The previous prime is 256072123. The next prime is 256072127. The reversal of 256072125 is 521270652.

It is an interprime number because it is at equal distance from previous prime (256072123) and next prime (256072127).

It is not a de Polignac number, because 256072125 - 2¹ = 256072123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 256072092 and 256072101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256072123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39354 + ... + 45396.

It is an arithmetic number, because the mean of its divisors is an integer number (13435812).

Almost surely, 2^256072125 is an apocalyptic number.

256072125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256072125 is a deficient number, since it is larger than the sum of its proper divisors (173873859).

256072125 is a wasteful number, since it uses less digits than its factorization.

256072125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6164 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 256072125 is about 16002.2537475194. The cubic root of 256072125 is about 635.0200460739.

The spelling of 256072125 in words is "two hundred fifty-six million, seventy-two thousand, one hundred twenty-five".