85430772 has 72 divisors (see below), whose sum is σ = 252086016. Its totient is φ = 23886144.

The previous prime is 85430771. The next prime is 85430773. The reversal of 85430772 is 27703458.

It is an interprime number because it is at equal distance from previous prime (85430771) and next prime (85430773).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (85430771) 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, 8238 + ... + 15450.

Almost surely, 2^85430772 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 85430772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126043008).

85430772 is an abundant number, since it is smaller than the sum of its proper divisors (166655244).

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

85430772 is a wasteful number, since it uses less digits than its factorization.

85430772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7277 (or 7272 counting only the distinct ones).

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

The square root of 85430772 is about 9242.8768248852. The cubic root of 85430772 is about 440.4244732939.

It can be divided in two parts, 854 and 30772, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 85430772 in words is "eighty-five million, four hundred thirty thousand, seven hundred seventy-two".