72681829 has 4 divisors (see below), whose sum is σ = 79289280. Its totient is φ = 66074380.

The previous prime is 72681827. The next prime is 72681839. The reversal of 72681829 is 92818627.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72681829 - 2¹ = 72681827 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 (72681823) 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 3 ways as a sum of consecutive naturals, for example, 3303709 + ... + 3303730.

It is an arithmetic number, because the mean of its divisors is an integer number (19822320).

Almost surely, 2^72681829 is an apocalyptic number.

It is an amenable number.

72681829 is a deficient number, since it is larger than the sum of its proper divisors (6607451).

72681829 is a wasteful number, since it uses less digits than its factorization.

72681829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607450.

The product of its digits is 96768, while the sum is 43.

The square root of 72681829 is about 8525.3638632026. The cubic root of 72681829 is about 417.3258460659.

The spelling of 72681829 in words is "seventy-two million, six hundred eighty-one thousand, eight hundred twenty-nine".