32803872 has 48 divisors (see below), whose sum is σ = 89087040. Its totient is φ = 10556672.

The previous prime is 32803831. The next prime is 32803879. The reversal of 32803872 is 27830823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (32803879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3108 + ... + 8675.

It is an arithmetic number, because the mean of its divisors is an integer number (1855980).

Almost surely, 2^32803872 is an apocalyptic number.

32803872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32803872 is an abundant number, since it is smaller than the sum of its proper divisors (56283168).

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

32803872 is a wasteful number, since it uses less digits than its factorization.

32803872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11825 (or 11817 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 32803872 is about 5727.4664555980. The cubic root of 32803872 is about 320.1167282485.

The spelling of 32803872 in words is "thirty-two million, eight hundred three thousand, eight hundred seventy-two".