72341712 has 60 divisors (see below), whose sum is σ = 207411204. Its totient is φ = 23523840.

The previous prime is 72341707. The next prime is 72341719. The reversal of 72341712 is 21714327.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16451136 + 55890576 = 4056^2 + 7476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72341719) 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 11 ways as a sum of consecutive naturals, for example, 223 + ... + 12030.

Almost surely, 2^72341712 is an apocalyptic number.

72341712 is a gapful number since it is divisible by the number (72) 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 72341712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103705602).

72341712 is an abundant number, since it is smaller than the sum of its proper divisors (135069492).

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

72341712 is a wasteful number, since it uses less digits than its factorization.

72341712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12308 (or 12299 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 72341712 is about 8505.3931126080. The cubic root of 72341712 is about 416.6738646934.

The spelling of 72341712 in words is "seventy-two million, three hundred forty-one thousand, seven hundred twelve".