72159390 has 128 divisors (see below), whose sum is σ = 207360000. Its totient is φ = 17791488.

The previous prime is 72159383. The next prime is 72159391. The reversal of 72159390 is 9395127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72159391) 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 63 ways as a sum of consecutive naturals, for example, 362511 + ... + 362709.

It is an arithmetic number, because the mean of its divisors is an integer number (1620000).

Almost surely, 2^72159390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72159390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680000).

72159390 is an abundant number, since it is smaller than the sum of its proper divisors (135200610).

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

72159390 is a wasteful number, since it uses less digits than its factorization.

72159390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 72159390 is about 8494.6683278395. The cubic root of 72159390 is about 416.3235240629.

The spelling of 72159390 in words is "seventy-two million, one hundred fifty-nine thousand, three hundred ninety".