72085733 has 8 divisors (see below), whose sum is σ = 74300160. Its totient is φ = 69899760.

The previous prime is 72085721. The next prime is 72085771. The reversal of 72085733 is 33758027.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72085733 - 2²⁰ = 71037157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72085693 and 72085702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72085033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1913 + ... + 12158.

It is an arithmetic number, because the mean of its divisors is an integer number (9287520).

Almost surely, 2^72085733 is an apocalyptic number.

It is an amenable number.

72085733 is a deficient number, since it is larger than the sum of its proper divisors (2214427).

72085733 is a wasteful number, since it uses less digits than its factorization.

72085733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14227.

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 72085733 is about 8490.3317367462. The cubic root of 72085733 is about 416.1818211763.

The spelling of 72085733 in words is "seventy-two million, eighty-five thousand, seven hundred thirty-three".