85129272 has 64 divisors (see below), whose sum is σ = 248928000. Its totient is φ = 26881632.

The previous prime is 85129259. The next prime is 85129283. The reversal of 85129272 is 27292158.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6268 + ... + 14475.

It is an arithmetic number, because the mean of its divisors is an integer number (3889500).

Almost surely, 2^85129272 is an apocalyptic number.

It is an amenable number.

85129272 is an abundant number, since it is smaller than the sum of its proper divisors (163798728).

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

85129272 is a wasteful number, since it uses less digits than its factorization.

85129272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20777 (or 20767 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 85129272 is about 9226.5525522808. The cubic root of 85129272 is about 439.9057511630.

The spelling of 85129272 in words is "eighty-five million, one hundred twenty-nine thousand, two hundred seventy-two".