72689085 has 96 divisors (see below), whose sum is σ = 153354240. Its totient is φ = 31135104.

The previous prime is 72689081. The next prime is 72689087. The reversal of 72689085 is 58098627.

It is not a de Polignac number, because 72689085 - 2² = 72689081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72689085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72689081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 572292 + ... + 572418.

It is an arithmetic number, because the mean of its divisors is an integer number (1597440).

Almost surely, 2^72689085 is an apocalyptic number.

It is an amenable number.

72689085 is an abundant number, since it is smaller than the sum of its proper divisors (80665155).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72689085 is a wasteful number, since it uses less digits than its factorization.

72689085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 72689085 is about 8525.7894062661. The cubic root of 72689085 is about 417.3397331480.

The spelling of 72689085 in words is "seventy-two million, six hundred eighty-nine thousand, eighty-five".