42725956 has 48 divisors (see below), whose sum is σ = 92969856. Its totient is φ = 16729344.

The previous prime is 42725953. The next prime is 42725957. The reversal of 42725956 is 65952724.

It is a super-2 number, since 2×42725956² = 3651014632227872, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42725953) 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, 38400 + ... + 39496.

It is an arithmetic number, because the mean of its divisors is an integer number (1936872).

Almost surely, 2^42725956 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 42725956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46484928).

42725956 is an abundant number, since it is smaller than the sum of its proper divisors (50243900).

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

42725956 is a wasteful number, since it uses less digits than its factorization.

42725956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1226 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 42725956 is about 6536.5094660683. The cubic root of 42725956 is about 349.5939672414.

It can be divided in two parts, 42725 and 956, that added together give a square (43681 = 209²).

The spelling of 42725956 in words is "forty-two million, seven hundred twenty-five thousand, nine hundred fifty-six".