32395972 has 48 divisors (see below), whose sum is σ = 67092480. Its totient is φ = 13400352.

The previous prime is 32395967. The next prime is 32395973. The reversal of 32395972 is 27959323.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (32395973) 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, 135429 + ... + 135667.

It is an arithmetic number, because the mean of its divisors is an integer number (1397760).

Almost surely, 2^32395972 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 32395972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33546240).

32395972 is an abundant number, since it is smaller than the sum of its proper divisors (34696508).

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

32395972 is a wasteful number, since it uses less digits than its factorization.

32395972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 398 counting only the distinct ones).

The product of its digits is 102060, while the sum is 40.

The square root of 32395972 is about 5691.7459535717. The cubic root of 32395972 is about 318.7843591310.

The spelling of 32395972 in words is "thirty-two million, three hundred ninety-five thousand, nine hundred seventy-two".