72093285 has 24 divisors (see below), whose sum is σ = 136322784. Its totient is φ = 34954080.

The previous prime is 72093271. The next prime is 72093299. The reversal of 72093285 is 58239027.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72093271) and next prime (72093299).

It is not a de Polignac number, because 72093285 - 2¹⁰ = 72092261 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 72327 + ... + 73316.

It is an arithmetic number, because the mean of its divisors is an integer number (5680116).

Almost surely, 2^72093285 is an apocalyptic number.

It is an amenable number.

72093285 is a deficient number, since it is larger than the sum of its proper divisors (64229499).

72093285 is a wasteful number, since it uses less digits than its factorization.

72093285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145665 (or 145662 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 72093285 is about 8490.7764662603. The cubic root of 72093285 is about 416.1963543126.

The spelling of 72093285 in words is "seventy-two million, ninety-three thousand, two hundred eighty-five".