85399072 has 72 divisors (see below), whose sum is σ = 194790960. Its totient is φ = 36449280.

The previous prime is 85399063. The next prime is 85399081. The reversal of 85399072 is 27099358.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85399063) and next prime (85399081).

It is a super-2 number, since 2×85399072² = 14586002996922368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 755688 + ... + 755800.

It is an arithmetic number, because the mean of its divisors is an integer number (2705430).

Almost surely, 2^85399072 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 85399072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97395480).

85399072 is an abundant number, since it is smaller than the sum of its proper divisors (109391888).

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

85399072 is a wasteful number, since it uses less digits than its factorization.

85399072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 85399072 is about 9241.1618317179. The cubic root of 85399072 is about 440.3699918205.

The spelling of 85399072 in words is "eighty-five million, three hundred ninety-nine thousand, seventy-two".