85437072 has 160 divisors (see below), whose sum is σ = 295219200. Its totient is φ = 23110272.

The previous prime is 85437061. The next prime is 85437073. The reversal of 85437072 is 27073458.

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

It is not an unprimeable number, because it can be changed into a prime (85437073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56713 + ... + 58199.

It is an arithmetic number, because the mean of its divisors is an integer number (1845120).

Almost surely, 2^85437072 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 85437072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147609600).

85437072 is an abundant number, since it is smaller than the sum of its proper divisors (209782128).

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

85437072 is a wasteful number, since it uses less digits than its factorization.

85437072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 85437072 is about 9243.2176215861. The cubic root of 85437072 is about 440.4352992368.

The spelling of 85437072 in words is "eighty-five million, four hundred thirty-seven thousand, seventy-two".