3967272 has 32 divisors (see below), whose sum is σ = 11020800. Its totient is φ = 1322352.

The previous prime is 3967259. The next prime is 3967277. The reversal of 3967272 is 2727693.

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

It is not an unprimeable number, because it can be changed into a prime (3967277) 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, 8968 + ... + 9399.

It is an arithmetic number, because the mean of its divisors is an integer number (344400).

Almost surely, 2^3967272 is an apocalyptic number.

It is an amenable number.

3967272 is an abundant number, since it is smaller than the sum of its proper divisors (7053528).

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

3967272 is a wasteful number, since it uses less digits than its factorization.

3967272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18382 (or 18372 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 3967272 is about 1991.8011948987. The cubic root of 3967272 is about 158.3059818559.

The spelling of 3967272 in words is "three million, nine hundred sixty-seven thousand, two hundred seventy-two".