85472 has 12 divisors (see below), whose sum is σ = 168336. Its totient is φ = 42720.

The previous prime is 85469. The next prime is 85487. The reversal of 85472 is 27458.

85472 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 8⁵ + 5⁵ + 4 + 7⁵ + 2¹⁵ .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1304 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (14028).

2⁸⁵⁴⁷² is an apocalyptic number.

It is an amenable number.

85472 is a deficient number, since it is larger than the sum of its proper divisors (82864).

85472 is a wasteful number, since it uses less digits than its factorization.

85472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2673 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 85472 is about 292.3559474339. The cubic root of 85472 is about 44.0495309987.

The spelling of 85472 in words is "eighty-five thousand, four hundred seventy-two".