32673872 has 60 divisors (see below), whose sum is σ = 79557408. Its totient is φ = 12724800.

The previous prime is 32673871. The next prime is 32673877. The reversal of 32673872 is 27837623.

It is a super-2 number, since 2×32673872² = 2135163822944768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32673871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12347 + ... + 14757.

Almost surely, 2^32673872 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 32673872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39778704).

32673872 is an abundant number, since it is smaller than the sum of its proper divisors (46883536).

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

32673872 is a wasteful number, since it uses less digits than its factorization.

32673872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2431 counting only the distinct ones).

The product of its digits is 84672, while the sum is 38.

The square root of 32673872 is about 5716.1063670999. The cubic root of 32673872 is about 319.6932998909.

The spelling of 32673872 in words is "thirty-two million, six hundred seventy-three thousand, eight hundred seventy-two".