72838075036073 has 8 divisors (see below), whose sum is σ = 72857086848000. Its totient is φ = 72819063904048.

The previous prime is 72838075036039. The next prime is 72838075036081. The reversal of 72838075036073 is 37063057083827.

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 72838075036073 - 2¹⁶ = 72838074970537 is a prime.

It is a super-2 number, since 2×72838075036073² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72838075036003) 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, 268918808 + ... + 269189526.

It is an arithmetic number, because the mean of its divisors is an integer number (9107135856000).

Almost surely, 2^{72838075036073} is an apocalyptic number.

It is an amenable number.

72838075036073 is a deficient number, since it is larger than the sum of its proper divisors (19011811927).

72838075036073 is a wasteful number, since it uses less digits than its factorization.

72838075036073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339951.

The product of its (nonzero) digits is 35562240, while the sum is 59.

The spelling of 72838075036073 in words is "seventy-two trillion, eight hundred thirty-eight billion, seventy-five million, thirty-six thousand, seventy-three".