72333214119936 has 2160 divisors, whose sum is σ = 278300280618360. Its totient is φ = 18649128960000.

The previous prime is 72333214119917. The next prime is 72333214119937. The reversal of 72333214119936 is 63991141233327.

It is a happy number.

72333214119936 is a `hidden beast` number, since 7 + 2 + 333 + 214 + 1 + 1 + 9 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4408992) is a multiple of the sum of its prime divisors (567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72333214119937) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 246871037806 + ... + 246871038098.

Almost surely, 2^{72333214119936} 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 72333214119936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139150140309180).

72333214119936 is an abundant number, since it is smaller than the sum of its proper divisors (205967066498424).

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

72333214119936 is a wasteful number, since it uses less digits than its factorization.

72333214119936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 567 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The spelling of 72333214119936 in words is "seventy-two trillion, three hundred thirty-three billion, two hundred fourteen million, one hundred nineteen thousand, nine hundred thirty-six".