72335322 has 64 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 22842864.

The previous prime is 72335321. The next prime is 72335353. The reversal of 72335322 is 22353327.

72335322 is a `hidden beast` number, since 7 + 2 + 335 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72335321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172429 + ... + 172847.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^72335322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72335322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

72335322 is an abundant number, since it is smaller than the sum of its proper divisors (97008678).

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

72335322 is a wasteful number, since it uses less digits than its factorization.

72335322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its digits is 7560, while the sum is 27.

The square root of 72335322 is about 8505.0174602995. The cubic root of 72335322 is about 416.6615959561.

Adding to 72335322 its reverse (22353327), we get a palindrome (94688649).

The spelling of 72335322 in words is "seventy-two million, three hundred thirty-five thousand, three hundred twenty-two".