85067724 has 72 divisors (see below), whose sum is σ = 232377600. Its totient is φ = 24149664.

The previous prime is 85067707. The next prime is 85067737. The reversal of 85067724 is 42776058.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116649 + ... + 117375.

Almost surely, 2^85067724 is an apocalyptic number.

85067724 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85067724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116188800).

85067724 is an abundant number, since it is smaller than the sum of its proper divisors (147309876).

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

85067724 is a wasteful number, since it uses less digits than its factorization.

85067724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 85067724 is about 9223.2165755771. The cubic root of 85067724 is about 439.7997091156.

The spelling of 85067724 in words is "eighty-five million, sixty-seven thousand, seven hundred twenty-four".