72171000 has 288 divisors, whose sum is σ = 276335280. Its totient is φ = 17496000.

The previous prime is 72170977. The next prime is 72171013. The reversal of 72171000 is 17127.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6560995 + ... + 6561005.

Almost surely, 2^72171000 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 72171000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138167640).

72171000 is an abundant number, since it is smaller than the sum of its proper divisors (204164280).

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

72171000 is an equidigital number, since it uses as much as digits as its factorization.

72171000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 72171000 is about 8495.3516701782. The cubic root of 72171000 is about 416.3458508264.

Adding to 72171000 its reverse (17127), we get a palindrome (72188127).

The spelling of 72171000 in words is "seventy-two million, one hundred seventy-one thousand".