72289829 has 8 divisors (see below), whose sum is σ = 73649472. Its totient is φ = 70943040.

The previous prime is 72289817. The next prime is 72289843. The reversal of 72289829 is 92898227.

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 72289829 - 2¹⁶ = 72224293 is a prime.

It is a super-3 number, since 3×72289829³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72289849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8534 + ... + 14744.

It is an arithmetic number, because the mean of its divisors is an integer number (9206184).

Almost surely, 2^72289829 is an apocalyptic number.

It is an amenable number.

72289829 is a deficient number, since it is larger than the sum of its proper divisors (1359643).

72289829 is a wasteful number, since it uses less digits than its factorization.

72289829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427.

The product of its digits is 290304, while the sum is 47.

The square root of 72289829 is about 8502.3425595538. The cubic root of 72289829 is about 416.5742289519.

The spelling of 72289829 in words is "seventy-two million, two hundred eighty-nine thousand, eight hundred twenty-nine".