72731829 has 16 divisors (see below), whose sum is σ = 102271680. Its totient is φ = 45849600.

The previous prime is 72731807. The next prime is 72731833. The reversal of 72731829 is 92813727.

It is not a de Polignac number, because 72731829 - 2¹⁷ = 72600757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72731629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44629 + ... + 46229.

It is an arithmetic number, because the mean of its divisors is an integer number (6391980).

Almost surely, 2^72731829 is an apocalyptic number.

It is an amenable number.

72731829 is a deficient number, since it is larger than the sum of its proper divisors (29539851).

72731829 is a wasteful number, since it uses less digits than its factorization.

72731829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420.

The product of its digits is 42336, while the sum is 39.

The square root of 72731829 is about 8528.2957852082. The cubic root of 72731829 is about 417.4215210994.

The spelling of 72731829 in words is "seventy-two million, seven hundred thirty-one thousand, eight hundred twenty-nine".