3872753 has 16 divisors (see below), whose sum is σ = 4333824. Its totient is φ = 3444480.

The previous prime is 3872731. The next prime is 3872761. The reversal of 3872753 is 3572783.

It is a cyclic number.

It is not a de Polignac number, because 3872753 - 2¹⁶ = 3807217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3872773) 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, 29498 + ... + 29628.

It is an arithmetic number, because the mean of its divisors is an integer number (270864).

Almost surely, 2^3872753 is an apocalyptic number.

It is an amenable number.

3872753 is a deficient number, since it is larger than the sum of its proper divisors (461071).

3872753 is a wasteful number, since it uses less digits than its factorization.

3872753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232.

The product of its digits is 35280, while the sum is 35.

The square root of 3872753 is about 1967.9311471695. The cubic root of 3872753 is about 157.0386668254.

The spelling of 3872753 in words is "three million, eight hundred seventy-two thousand, seven hundred fifty-three".