85735792 has 20 divisors (see below), whose sum is σ = 167232600. Its totient is φ = 42579008.

The previous prime is 85735781. The next prime is 85735817. The reversal of 85735792 is 29753758.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15598 + ... + 20365.

It is an arithmetic number, because the mean of its divisors is an integer number (8361630).

Almost surely, 2^85735792 is an apocalyptic number.

It is an amenable number.

85735792 is a deficient number, since it is larger than the sum of its proper divisors (81496808).

85735792 is a wasteful number, since it uses less digits than its factorization.

85735792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36120 (or 36114 counting only the distinct ones).

The product of its digits is 529200, while the sum is 46.

The square root of 85735792 is about 9259.3623970552. The cubic root of 85735792 is about 440.9480110727.

It can be divided in two parts, 8573 and 5792, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 85735792 in words is "eighty-five million, seven hundred thirty-five thousand, seven hundred ninety-two".