72735229 has 16 divisors (see below), whose sum is σ = 86564608. Its totient is φ = 59812992.

The previous prime is 72735227. The next prime is 72735233. The reversal of 72735229 is 92253727.

It is a cyclic number.

It is not a de Polignac number, because 72735229 - 2¹ = 72735227 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72735227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16984 + ... + 20830.

It is an arithmetic number, because the mean of its divisors is an integer number (5410288).

Almost surely, 2^72735229 is an apocalyptic number.

It is an amenable number.

72735229 is a deficient number, since it is larger than the sum of its proper divisors (13829379).

72735229 is a wasteful number, since it uses less digits than its factorization.

72735229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964.

The product of its digits is 52920, while the sum is 37.

The square root of 72735229 is about 8528.4951193045. The cubic root of 72735229 is about 417.4280254093.

The spelling of 72735229 in words is "seventy-two million, seven hundred thirty-five thousand, two hundred twenty-nine".