72834136541 has 8 divisors (see below), whose sum is σ = 77123254464. Its totient is φ = 68545547200.

The previous prime is 72834136519. The next prime is 72834136559. The reversal of 72834136541 is 14563143827.

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 a de Polignac number, because none of the positive numbers 2^k-72834136541 is a prime.

It is a super-2 number, since 2×72834136541² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72834136492 and 72834136501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72834136591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171506 + ... + 418428.

It is an arithmetic number, because the mean of its divisors is an integer number (9640406808).

Almost surely, 2^72834136541 is an apocalyptic number.

It is an amenable number.

72834136541 is a deficient number, since it is larger than the sum of its proper divisors (4289117923).

72834136541 is a wasteful number, since it uses less digits than its factorization.

72834136541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264291.

The product of its digits is 483840, while the sum is 44.

The spelling of 72834136541 in words is "seventy-two billion, eight hundred thirty-four million, one hundred thirty-six thousand, five hundred forty-one".