3972765 has 24 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 2051808.

The previous prime is 3972757. The next prime is 3972791. The reversal of 3972765 is 5672793.

It is not a de Polignac number, because 3972765 - 2³ = 3972757 is a prime.

3972765 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59262 + ... + 59328.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^3972765 is an apocalyptic number.

It is an amenable number.

3972765 is a deficient number, since it is larger than the sum of its proper divisors (2589315).

3972765 is an equidigital number, since it uses as much as digits as its factorization.

3972765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 134 counting only the distinct ones).

The product of its digits is 79380, while the sum is 39.

The square root of 3972765 is about 1993.1796206062. The cubic root of 3972765 is about 158.3790105210.

The spelling of 3972765 in words is "three million, nine hundred seventy-two thousand, seven hundred sixty-five".