72086259 has 32 divisors (see below), whose sum is σ = 113379840. Its totient is φ = 39889152.

The previous prime is 72086213. The next prime is 72086269. The reversal of 72086259 is 95268027.

It is a happy number.

It is not a de Polignac number, because 72086259 - 2¹² = 72082163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72086269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90049 + ... + 90845.

It is an arithmetic number, because the mean of its divisors is an integer number (3543120).

Almost surely, 2^72086259 is an apocalyptic number.

72086259 is a deficient number, since it is larger than the sum of its proper divisors (41293581).

72086259 is a wasteful number, since it uses less digits than its factorization.

72086259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 72086259 is about 8490.3627131001. The cubic root of 72086259 is about 416.1828334482.

The spelling of 72086259 in words is "seventy-two million, eighty-six thousand, two hundred fifty-nine".