4742136 has 72 divisors (see below), whose sum is σ = 14830920. Its totient is φ = 1340928.

The previous prime is 4742131. The next prime is 4742137. The reversal of 4742136 is 6312474.

4742136 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742131) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48840 + ... + 48936.

It is an arithmetic number, because the mean of its divisors is an integer number (205985).

Almost surely, 2^4742136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4742136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415460).

4742136 is an abundant number, since it is smaller than the sum of its proper divisors (10088784).

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

4742136 is a wasteful number, since it uses less digits than its factorization.

4742136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 109 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 4742136 is about 2177.6445991024. The cubic root of 4742136 is about 168.0059521701.

The spelling of 4742136 in words is "four million, seven hundred forty-two thousand, one hundred thirty-six".