3972727 has 16 divisors (see below), whose sum is σ = 4574592. Its totient is φ = 3417120.

The previous prime is 3972697. The next prime is 3972737. The reversal of 3972727 is 7272793.

It is a cyclic number.

It is not a de Polignac number, because 3972727 - 2¹¹ = 3970679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17388 + ... + 17614.

It is an arithmetic number, because the mean of its divisors is an integer number (285912).

Almost surely, 2^3972727 is an apocalyptic number.

3972727 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3972727 is a deficient number, since it is larger than the sum of its proper divisors (601865).

3972727 is a wasteful number, since it uses less digits than its factorization.

3972727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318.

The product of its digits is 37044, while the sum is 37.

The square root of 3972727 is about 1993.1700880758. The cubic root of 3972727 is about 158.3785055477.

The spelling of 3972727 in words is "three million, nine hundred seventy-two thousand, seven hundred twenty-seven".