72202332 has 48 divisors (see below), whose sum is σ = 182552832. Its totient is φ = 22122240.

The previous prime is 72202331. The next prime is 72202381. The reversal of 72202332 is 23320227.

It is a junction number, because it is equal to n+sod(n) for n = 72202299 and 72202308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72202331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4657 + ... + 12887.

It is an arithmetic number, because the mean of its divisors is an integer number (3803184).

Almost surely, 2^72202332 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 72202332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91276416).

72202332 is an abundant number, since it is smaller than the sum of its proper divisors (110350500).

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

72202332 is a wasteful number, since it uses less digits than its factorization.

72202332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8298 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 72202332 is about 8497.1955373523. The cubic root of 72202332 is about 416.4060922941.

Adding to 72202332 its reverse (23320227), we get a palindrome (95522559).

The spelling of 72202332 in words is "seventy-two million, two hundred two thousand, three hundred thirty-two".