72224334 has 72 divisors (see below), whose sum is σ = 196068600. Its totient is φ = 19045152.

The previous prime is 72224311. The next prime is 72224351. The reversal of 72224334 is 43342227.

72224334 is a `hidden beast` number, since 7 + 222 + 433 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72224298 and 72224307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8317 + ... + 14615.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2^72224334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72224334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98034300).

72224334 is an abundant number, since it is smaller than the sum of its proper divisors (123844266).

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

72224334 is a wasteful number, since it uses less digits than its factorization.

72224334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6334 (or 6324 counting only the distinct ones).

The product of its digits is 8064, while the sum is 27.

The square root of 72224334 is about 8498.4901011886. The cubic root of 72224334 is about 416.4483847249.

The spelling of 72224334 in words is "seventy-two million, two hundred twenty-four thousand, three hundred thirty-four".