85726107 has 20 divisors (see below), whose sum is σ = 128937600. Its totient is φ = 56759184.

The previous prime is 85726103. The next prime is 85726127. The reversal of 85726107 is 70162758.

It is not a de Polignac number, because 85726107 - 2² = 85726103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85726103) 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 19 ways as a sum of consecutive naturals, for example, 8518 + ... + 15620.

It is an arithmetic number, because the mean of its divisors is an integer number (6446880).

Almost surely, 2^85726107 is an apocalyptic number.

85726107 is a deficient number, since it is larger than the sum of its proper divisors (43211493).

85726107 is a wasteful number, since it uses less digits than its factorization.

85726107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7264 (or 7255 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 85726107 is about 9258.8393981103. The cubic root of 85726107 is about 440.9314067965.

The spelling of 85726107 in words is "eighty-five million, seven hundred twenty-six thousand, one hundred seven".