72085734 has 64 divisors (see below), whose sum is σ = 192729600. Its totient is φ = 19509984.

The previous prime is 72085721. The next prime is 72085771. The reversal of 72085734 is 43758027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2164 + ... + 12200.

It is an arithmetic number, because the mean of its divisors is an integer number (3011400).

Almost surely, 2^72085734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72085734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96364800).

72085734 is an abundant number, since it is smaller than the sum of its proper divisors (120643866).

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

72085734 is a wasteful number, since it uses less digits than its factorization.

72085734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10074 (or 10068 counting only the distinct ones).

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

The square root of 72085734 is about 8490.3317956367. The cubic root of 72085734 is about 416.1818231007.

The spelling of 72085734 in words is "seventy-two million, eighty-five thousand, seven hundred thirty-four".