72352085 has 32 divisors (see below), whose sum is σ = 101479392. Its totient is φ = 49029120.

The previous prime is 72352079. The next prime is 72352087. The reversal of 72352085 is 58025327.

It can be written as a sum of positive squares in 16 ways, for example, as 48135844 + 24216241 = 6938^2 + 4921^2 .

It is not a de Polignac number, because 72352085 - 2¹⁰ = 72351061 is a prime.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72352087) 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, 44507 + ... + 46103.

It is an arithmetic number, because the mean of its divisors is an integer number (3171231).

Almost surely, 2^72352085 is an apocalyptic number.

It is an amenable number.

72352085 is a deficient number, since it is larger than the sum of its proper divisors (29127307).

72352085 is a wasteful number, since it uses less digits than its factorization.

72352085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673.

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 72352085 is about 8506.0028803193. The cubic root of 72352085 is about 416.6937792135.

The spelling of 72352085 in words is "seventy-two million, three hundred fifty-two thousand, eighty-five".