73933423272 has 160 divisors (see below), whose sum is σ = 216617258880. Its totient is φ = 23514986880.

The previous prime is 73933423261. The next prime is 73933423279. The reversal of 73933423272 is 27232433937.

73933423272 is a `hidden beast` number, since 7 + 39 + 3 + 342 + 3 + 272 = 666.

It is a super-2 number, since 2×73933423272² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73933423279) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6268693 + ... + 6280475.

It is an arithmetic number, because the mean of its divisors is an integer number (1353857868).

Almost surely, 2^73933423272 is an apocalyptic number.

73933423272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73933423272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108308629440).

73933423272 is an abundant number, since it is smaller than the sum of its proper divisors (142683835608).

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

73933423272 is a wasteful number, since it uses less digits than its factorization.

73933423272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12245 (or 12232 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 45.

The spelling of 73933423272 in words is "seventy-three billion, nine hundred thirty-three million, four hundred twenty-three thousand, two hundred seventy-two".