73523962982272 has 128 divisors (see below), whose sum is σ = 164120143183200. Its totient is φ = 32514319319040.

The previous prime is 73523962982233. The next prime is 73523962982273. The reversal of 73523962982272 is 27228926932537.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 73523962982198 and 73523962982207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73523962982273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823541028 + ... + 823630300.

Almost surely, 2^{73523962982272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73523962982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82060071591600).

73523962982272 is an abundant number, since it is smaller than the sum of its proper divisors (90596180200928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73523962982272 is a wasteful number, since it uses less digits than its factorization.

73523962982272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105144 (or 105132 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 67.

The spelling of 73523962982272 in words is "seventy-three trillion, five hundred twenty-three billion, nine hundred sixty-two million, nine hundred eighty-two thousand, two hundred seventy-two".