32887872 has 42 divisors (see below), whose sum is σ = 94268798. Its totient is φ = 10962432.

The previous prime is 32887871. The next prime is 32887873. The reversal of 32887872 is 27878823.

It is an interprime number because it is at equal distance from previous prime (32887871) and next prime (32887873).

It can be written as a sum of positive squares in only one way, i.e., 18870336 + 14017536 = 4344^2 + 3744^2 .

It is a super-3 number, since 3×32887872³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (32887871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27973 + ... + 29124.

Almost surely, 2^32887872 is an apocalyptic number.

32887872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32887872 is an abundant number, since it is smaller than the sum of its proper divisors (61380926).

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

32887872 is a wasteful number, since it uses less digits than its factorization.

32887872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57115 (or 57102 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 32887872 is about 5734.7948524773. The cubic root of 32887872 is about 320.3897334776.

The spelling of 32887872 in words is "thirty-two million, eight hundred eighty-seven thousand, eight hundred seventy-two".