32671872 has 96 divisors (see below), whose sum is σ = 95472000. Its totient is φ = 10722816.

The previous prime is 32671867. The next prime is 32671889. The reversal of 32671872 is 27817623.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90829 + ... + 91187.

It is an arithmetic number, because the mean of its divisors is an integer number (994500).

Almost surely, 2^32671872 is an apocalyptic number.

32671872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47736000).

32671872 is an abundant number, since it is smaller than the sum of its proper divisors (62800128).

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

32671872 is a wasteful number, since it uses less digits than its factorization.

32671872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 443 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 32671872 is about 5715.9314201624. The cubic root of 32671872 is about 319.6867768435.

The spelling of 32671872 in words is "thirty-two million, six hundred seventy-one thousand, eight hundred seventy-two".