85401072 has 60 divisors (see below), whose sum is σ = 242399664. Its totient is φ = 28062720.

The previous prime is 85401059. The next prime is 85401077. The reversal of 85401072 is 27010458.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85401077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6048 + ... + 14400.

Almost surely, 2^85401072 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 85401072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121199832).

85401072 is an abundant number, since it is smaller than the sum of its proper divisors (156998592).

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

85401072 is a wasteful number, since it uses less digits than its factorization.

85401072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8438 (or 8429 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 85401072 is about 9241.2700425861. The cubic root of 85401072 is about 440.3734295359.

The spelling of 85401072 in words is "eighty-five million, four hundred one thousand, seventy-two".