72171120 has 360 divisors, whose sum is σ = 290834064. Its totient is φ = 14708736.

The previous prime is 72171109. The next prime is 72171133. The reversal of 72171120 is 2117127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3798471 + ... + 3798489.

Almost surely, 2^72171120 is an apocalyptic number.

72171120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72171120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145417032).

72171120 is an abundant number, since it is smaller than the sum of its proper divisors (218662944).

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

72171120 is a wasteful number, since it uses less digits than its factorization.

72171120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 72171120 is about 8495.3587328611. The cubic root of 72171120 is about 416.3460815815.

Adding to 72171120 its reverse (2117127), we get a palindrome (74288247).

The spelling of 72171120 in words is "seventy-two million, one hundred seventy-one thousand, one hundred twenty".