72017085 has 32 divisors (see below), whose sum is σ = 132986880. Its totient is φ = 32597568.

The previous prime is 72017081. The next prime is 72017107. The reversal of 72017085 is 58071027.

It is a happy number.

It is not a de Polignac number, because 72017085 - 2² = 72017081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72017081) 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, 7486 + ... + 14144.

It is an arithmetic number, because the mean of its divisors is an integer number (4155840).

Almost surely, 2^72017085 is an apocalyptic number.

It is an amenable number.

72017085 is a deficient number, since it is larger than the sum of its proper divisors (60969795).

72017085 is a wasteful number, since it uses less digits than its factorization.

72017085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6777.

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 72017085 is about 8486.2880578024. The cubic root of 72017085 is about 416.0496677784.

The spelling of 72017085 in words is "seventy-two million, seventeen thousand, eighty-five".