85026672 has 120 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 26827200.

The previous prime is 85026671. The next prime is 85026731. The reversal of 85026672 is 27662058.

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 (85026671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73297 + ... + 74447.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^85026672 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 85026672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

85026672 is an abundant number, since it is smaller than the sum of its proper divisors (174956688).

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

85026672 is a wasteful number, since it uses less digits than its factorization.

85026672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 85026672 is about 9220.9908361304. The cubic root of 85026672 is about 439.7289515205.

The spelling of 85026672 in words is "eighty-five million, twenty-six thousand, six hundred seventy-two".