322632072 has 168 divisors, whose sum is σ = 1056001950. Its totient is φ = 92098944.

The previous prime is 322632049. The next prime is 322632073. The reversal of 322632072 is 270236223.

322632072 is a `hidden beast` number, since 3 + 22 + 632 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 315630756 + 7001316 = 17766^2 + 2646^2 .

It is a tau number, because it is divible by the number of its divisors (168).

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 (322632073) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 285204 + ... + 286332.

Almost surely, 2^322632072 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 322632072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528000975).

322632072 is an abundant number, since it is smaller than the sum of its proper divisors (733369878).

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

322632072 is a wasteful number, since it uses less digits than its factorization.

322632072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 322632072 is about 17961.9618082213. The cubic root of 322632072 is about 685.8605853021.

Adding to 322632072 its reverse (270236223), we get a palindrome (592868295).

The spelling of 322632072 in words is "three hundred twenty-two million, six hundred thirty-two thousand, seventy-two".