85739472 has 200 divisors, whose sum is σ = 305841536. Its totient is φ = 22581504.

The previous prime is 85739443. The next prime is 85739473. The reversal of 85739472 is 27493758.

85739472 is a `hidden beast` number, since 8 + 573 + 9 + 4 + 72 = 666.

It is a super-3 number, since 3×85739472³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85739473) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117573 + ... + 118299.

Almost surely, 2^85739472 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 85739472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152920768).

85739472 is an abundant number, since it is smaller than the sum of its proper divisors (220102064).

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

85739472 is a wasteful number, since it uses less digits than its factorization.

85739472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 752 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 85739472 is about 9259.5611127094. The cubic root of 85739472 is about 440.9543198555.

The spelling of 85739472 in words is "eighty-five million, seven hundred thirty-nine thousand, four hundred seventy-two".