32972296 has 72 divisors (see below), whose sum is σ = 76226670. Its totient is φ = 13329792.

The previous prime is 32972293. The next prime is 32972297. The reversal of 32972296 is 69227923.

It can be written as a sum of positive squares in only one way, i.e., 31203396 + 1768900 = 5586^2 + 1330^2 .

It is not an unprimeable number, because it can be changed into a prime (32972293) 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 17 ways as a sum of consecutive naturals, for example, 141396 + ... + 141628.

Almost surely, 2^32972296 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 32972296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38113335).

32972296 is an abundant number, since it is smaller than the sum of its proper divisors (43254374).

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

32972296 is a wasteful number, since it uses less digits than its factorization.

32972296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 261 counting only the distinct ones).

The product of its digits is 81648, while the sum is 40.

The square root of 32972296 is about 5742.1508165495. The cubic root of 32972296 is about 320.6636487475.

The spelling of 32972296 in words is "thirty-two million, nine hundred seventy-two thousand, two hundred ninety-six".