72457085 has 8 divisors (see below), whose sum is σ = 87174360. Its totient is φ = 57815104.

The previous prime is 72457067. The next prime is 72457117. The reversal of 72457085 is 58075427.

It can be written as a sum of positive squares in 4 ways, for example, as 20775364 + 51681721 = 4558^2 + 7189^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72457085 - 2¹⁴ = 72440701 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a Zeisel number, with parameters (96, -91).

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16682 + ... + 20571.

It is an arithmetic number, because the mean of its divisors is an integer number (10896795).

Almost surely, 2^72457085 is an apocalyptic number.

It is an amenable number.

72457085 is a deficient number, since it is larger than the sum of its proper divisors (14717275).

72457085 is a wasteful number, since it uses less digits than its factorization.

72457085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37647.

The product of its (nonzero) digits is 78400, while the sum is 38.

The square root of 72457085 is about 8512.1727543560. The cubic root of 72457085 is about 416.8952555479.

The spelling of 72457085 in words is "seventy-two million, four hundred fifty-seven thousand, eighty-five".