72321093 has 40 divisors (see below), whose sum is σ = 117312888. Its totient is φ = 44136576.

The previous prime is 72321091. The next prime is 72321121. The reversal of 72321093 is 39012327.

It can be written as a sum of positive squares in 4 ways, for example, as 18122049 + 54199044 = 4257^2 + 7362^2 .

It is not a de Polignac number, because 72321093 - 2¹ = 72321091 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72321091) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 181971 + ... + 182367.

Almost surely, 2^72321093 is an apocalyptic number.

It is an amenable number.

72321093 is a deficient number, since it is larger than the sum of its proper divisors (44991795).

72321093 is a wasteful number, since it uses less digits than its factorization.

72321093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 72321093 is about 8504.1809129392. The cubic root of 72321093 is about 416.6342738195.

The spelling of 72321093 in words is "seventy-two million, three hundred twenty-one thousand, ninety-three".