72139829 has 8 divisors (see below), whose sum is σ = 72722520. Its totient is φ = 71559936.

The previous prime is 72139819. The next prime is 72139867. The reversal of 72139829 is 92893127.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18879025 + 53260804 = 4345^2 + 7298^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72139829 - 2¹⁶ = 72074293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72139819) 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, 94919 + ... + 95675.

It is an arithmetic number, because the mean of its divisors is an integer number (9090315).

Almost surely, 2^72139829 is an apocalyptic number.

It is an amenable number.

72139829 is a deficient number, since it is larger than the sum of its proper divisors (582691).

72139829 is a wasteful number, since it uses less digits than its factorization.

72139829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399.

The product of its digits is 54432, while the sum is 41.

The square root of 72139829 is about 8493.5168805389. The cubic root of 72139829 is about 416.2859016069.

The spelling of 72139829 in words is "seventy-two million, one hundred thirty-nine thousand, eight hundred twenty-nine".