72913829 has 8 divisors (see below), whose sum is σ = 75601920. Its totient is φ = 70246800.

The previous prime is 72913817. The next prime is 72913843. The reversal of 72913829 is 92831927.

It is a happy number.

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 72913829 - 2⁸ = 72913573 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 (72913229) 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, 1964 + ... + 12234.

It is an arithmetic number, because the mean of its divisors is an integer number (9450240).

Almost surely, 2^72913829 is an apocalyptic number.

It is an amenable number.

72913829 is a deficient number, since it is larger than the sum of its proper divisors (2688091).

72913829 is a wasteful number, since it uses less digits than its factorization.

72913829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10531.

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

The square root of 72913829 is about 8538.9594799367. The cubic root of 72913829 is about 417.7694083888.

The spelling of 72913829 in words is "seventy-two million, nine hundred thirteen thousand, eight hundred twenty-nine".