72156320 has 96 divisors (see below), whose sum is σ = 177666048. Its totient is φ = 27675648.

The previous prime is 72156317. The next prime is 72156323. The reversal of 72156320 is 2365127.

It is an interprime number because it is at equal distance from previous prime (72156317) and next prime (72156323).

It is a self number, because there is not a number n which added to its sum of digits gives 72156320.

It is not an unprimeable number, because it can be changed into a prime (72156323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568097 + ... + 568223.

It is an arithmetic number, because the mean of its divisors is an integer number (1850688).

Almost surely, 2^72156320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72156320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88833024).

72156320 is an abundant number, since it is smaller than the sum of its proper divisors (105509728).

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

72156320 is a wasteful number, since it uses less digits than its factorization.

72156320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 72156320 is about 8494.4876243361. The cubic root of 72156320 is about 416.3176198586.

The spelling of 72156320 in words is "seventy-two million, one hundred fifty-six thousand, three hundred twenty".