33972432 has 40 divisors (see below), whose sum is σ = 94514784. Its totient is φ = 10452864.

The previous prime is 33972413. The next prime is 33972469. The reversal of 33972432 is 23427933.

It is a super-2 number, since 2×33972432² = 2308252271989248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33972393 and 33972402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26598 + ... + 27845.

Almost surely, 2^33972432 is an apocalyptic number.

It is an amenable number.

33972432 is an abundant number, since it is smaller than the sum of its proper divisors (60542352).

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

33972432 is a wasteful number, since it uses less digits than its factorization.

33972432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54467 (or 54461 counting only the distinct ones).

The product of its digits is 27216, while the sum is 33.

The square root of 33972432 is about 5828.5874789695. The cubic root of 33972432 is about 323.8735980031.

It can be divided in two parts, 339 and 72432, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 33972432 in words is "thirty-three million, nine hundred seventy-two thousand, four hundred thirty-two".