85500072 has 144 divisors (see below), whose sum is σ = 281604960. Its totient is φ = 22952448.

The previous prime is 85500071. The next prime is 85500073. The reversal of 85500072 is 27000558.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85500071) and next prime (85500073).

It is not an unprimeable number, because it can be changed into a prime (85500071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145363 + ... + 145949.

It is an arithmetic number, because the mean of its divisors is an integer number (1955590).

Almost surely, 2^85500072 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 85500072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140802480).

85500072 is an abundant number, since it is smaller than the sum of its proper divisors (196104888).

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

85500072 is a wasteful number, since it uses less digits than its factorization.

85500072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 85500072 is about 9246.6248977668. The cubic root of 85500072 is about 440.5435294068.

The spelling of 85500072 in words is "eighty-five million, five hundred thousand, seventy-two".