4202772 has 24 divisors (see below), whose sum is σ = 11207616. Its totient is φ = 1200768.

The previous prime is 4202771. The next prime is 4202773. The reversal of 4202772 is 2772024.

It is an interprime number because it is at equal distance from previous prime (4202771) and next prime (4202773).

4202772 is a modest number, since divided by 2772 gives 420 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24933 + ... + 25100.

It is an arithmetic number, because the mean of its divisors is an integer number (466984).

Almost surely, 2^4202772 is an apocalyptic number.

4202772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4202772 is an abundant number, since it is smaller than the sum of its proper divisors (7004844).

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

4202772 is a wasteful number, since it uses less digits than its factorization.

4202772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50047 (or 50045 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 4202772 is about 2050.0663403900. The cubic root of 4202772 is about 161.3783522265.

Adding to 4202772 its reverse (2772024), we get a palindrome (6974796).

The spelling of 4202772 in words is "four million, two hundred two thousand, seven hundred seventy-two".