72171330 has 128 divisors (see below), whose sum is σ = 218419200. Its totient is φ = 14826240.

The previous prime is 72171313. The next prime is 72171331. The reversal of 72171330 is 3317127.

It is a self number, because there is not a number n which added to its sum of digits gives 72171330.

It is not an unprimeable number, because it can be changed into a prime (72171331) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 362571 + ... + 362769.

It is an arithmetic number, because the mean of its divisors is an integer number (1706400).

Almost surely, 2^72171330 is an apocalyptic number.

72171330 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72171330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109209600).

72171330 is an abundant number, since it is smaller than the sum of its proper divisors (146247870).

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

72171330 is a wasteful number, since it uses less digits than its factorization.

72171330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384.

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 72171330 is about 8495.3710925421. The cubic root of 72171330 is about 416.3464854023.

Adding to 72171330 its reverse (3317127), we get a palindrome (75488457).

The spelling of 72171330 in words is "seventy-two million, one hundred seventy-one thousand, three hundred thirty".