85072680 has 480 divisors, whose sum is σ = 370782720. Its totient is φ = 17107200.

The previous prime is 85072621. The next prime is 85072681. The reversal of 85072680 is 8627058.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85072681) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2744265 + ... + 2744295.

It is an arithmetic number, because the mean of its divisors is an integer number (772464).

Almost surely, 2^85072680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85072680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185391360).

85072680 is an abundant number, since it is smaller than the sum of its proper divisors (285710040).

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

85072680 is a wasteful number, since it uses less digits than its factorization.

85072680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85072680 is about 9223.4852414909. The cubic root of 85072680 is about 439.8082497815.

The spelling of 85072680 in words is "eighty-five million, seventy-two thousand, six hundred eighty".