72117472 has 48 divisors (see below), whose sum is σ = 163289952. Its totient is φ = 30712320.

The previous prime is 72117467. The next prime is 72117473. The reversal of 72117472 is 27471127.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72117473) 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 7 ways as a sum of consecutive naturals, for example, 37822 + ... + 39682.

It is an arithmetic number, because the mean of its divisors is an integer number (3401874).

Almost surely, 2^72117472 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 72117472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81644976).

72117472 is an abundant number, since it is smaller than the sum of its proper divisors (91172480).

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

72117472 is a wasteful number, since it uses less digits than its factorization.

72117472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2043 counting only the distinct ones).

The product of its digits is 5488, while the sum is 31.

The square root of 72117472 is about 8492.2006570735. The cubic root of 72117472 is about 416.2428931623.

Adding to 72117472 its reverse (27471127), we get a palindrome (99588599).

The spelling of 72117472 in words is "seventy-two million, one hundred seventeen thousand, four hundred seventy-two".