72282132 has 90 divisors (see below), whose sum is σ = 205060394. Its totient is φ = 22070880.

The previous prime is 72282121. The next prime is 72282143. The reversal of 72282132 is 23128227.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72282121) and next prime (72282143).

It can be written as a sum of positive squares in only one way, i.e., 50041476 + 22240656 = 7074^2 + 4716^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 72282096 and 72282105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 551707 + ... + 551837.

Almost surely, 2^72282132 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 72282132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102530197).

72282132 is an abundant number, since it is smaller than the sum of its proper divisors (132778262).

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

72282132 is a wasteful number, since it uses less digits than its factorization.

72282132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 149 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 72282132 is about 8501.8899075441. The cubic root of 72282132 is about 416.5594436279.

The spelling of 72282132 in words is "seventy-two million, two hundred eighty-two thousand, one hundred thirty-two".