72172716 has 96 divisors (see below), whose sum is σ = 221061120. Its totient is φ = 17755200.

The previous prime is 72172693. The next prime is 72172717. The reversal of 72172716 is 61727127.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is not an unprimeable number, because it can be changed into a prime (72172717) 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 31 ways as a sum of consecutive naturals, for example, 15501 + ... + 19611.

It is an arithmetic number, because the mean of its divisors is an integer number (2302720).

Almost surely, 2^72172716 is an apocalyptic number.

72172716 is a gapful number since it is divisible by the number (76) 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 72172716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110530560).

72172716 is an abundant number, since it is smaller than the sum of its proper divisors (148888404).

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

72172716 is a wasteful number, since it uses less digits than its factorization.

72172716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4153 counting only the distinct ones).

The product of its digits is 8232, while the sum is 33.

The square root of 72172716 is about 8495.4526659855. The cubic root of 72172716 is about 416.3491505998.

It can be divided in two parts, 721 and 72716, that added together give a palindrome (73437).

The spelling of 72172716 in words is "seventy-two million, one hundred seventy-two thousand, seven hundred sixteen".