72085827 has 16 divisors (see below), whose sum is σ = 107085312. Its totient is φ = 42757920.

The previous prime is 72085807. The next prime is 72085837. The reversal of 72085827 is 72858027.

It is not a de Polignac number, because 72085827 - 2²⁶ = 4976963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72085807) 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 15 ways as a sum of consecutive naturals, for example, 21688 + ... + 24789.

It is an arithmetic number, because the mean of its divisors is an integer number (6692832).

Almost surely, 2^72085827 is an apocalyptic number.

72085827 is a deficient number, since it is larger than the sum of its proper divisors (34999485).

72085827 is a wasteful number, since it uses less digits than its factorization.

72085827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46538.

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 72085827 is about 8490.3372724527. The cubic root of 72085827 is about 416.1820020769.

The spelling of 72085827 in words is "seventy-two million, eighty-five thousand, eight hundred twenty-seven".