72834529 has 4 divisors (see below), whose sum is σ = 72913860. Its totient is φ = 72755200.

The previous prime is 72834527. The next prime is 72834547. The reversal of 72834529 is 92543827.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 92543827 = 607 ⋅152461.

It can be written as a sum of positive squares in 2 ways, for example, as 41216400 + 31618129 = 6420^2 + 5623^2 .

It is a cyclic number.

It is not a de Polignac number, because 72834529 - 2¹ = 72834527 is a prime.

It is a super-2 number, since 2×72834529² = 10609737229303682, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72834491 and 72834500.

It is not an unprimeable number, because it can be changed into a prime (72834521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38272 + ... + 40129.

It is an arithmetic number, because the mean of its divisors is an integer number (18228465).

Almost surely, 2^72834529 is an apocalyptic number.

It is an amenable number.

72834529 is a deficient number, since it is larger than the sum of its proper divisors (79331).

72834529 is an equidigital number, since it uses as much as digits as its factorization.

72834529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79330.

The product of its digits is 120960, while the sum is 40.

The square root of 72834529 is about 8534.3147938191. The cubic root of 72834529 is about 417.6179001767.

The spelling of 72834529 in words is "seventy-two million, eight hundred thirty-four thousand, five hundred twenty-nine".