4072761 has 40 divisors (see below), whose sum is σ = 7596864. Its totient is φ = 2112480.

The previous prime is 4072753. The next prime is 4072793. The reversal of 4072761 is 1672704.

4072761 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 4072761 - 2³ = 4072753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

4072761 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4072721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5911 + ... + 6563.

Almost surely, 2^4072761 is an apocalyptic number.

It is an amenable number.

4072761 is a deficient number, since it is larger than the sum of its proper divisors (3524103).

4072761 is a wasteful number, since it uses less digits than its factorization.

4072761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 4072761 is about 2018.1082726157. The cubic root of 4072761 is about 159.6968347848.

The spelling of 4072761 in words is "four million, seventy-two thousand, seven hundred sixty-one".