38233272 has 128 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 9338880.

The previous prime is 38233259. The next prime is 38233297. The reversal of 38233272 is 27233283.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30808 + ... + 32024.

It is an arithmetic number, because the mean of its divisors is an integer number (986580).

Almost surely, 2^38233272 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 38233272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

38233272 is an abundant number, since it is smaller than the sum of its proper divisors (88048968).

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

38233272 is a wasteful number, since it uses less digits than its factorization.

38233272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1257 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 38233272 is about 6183.3059118889. The cubic root of 38233272 is about 336.8840805044.

The spelling of 38233272 in words is "thirty-eight million, two hundred thirty-three thousand, two hundred seventy-two".