42752472 has 64 divisors (see below), whose sum is σ = 126105600. Its totient is φ = 11819520.

The previous prime is 42752447. The next prime is 42752497. The reversal of 42752472 is 27425724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42752447) and next prime (42752497).

It is a super-2 number, since 2×42752472² = 3655547724221568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1104 + ... + 9312.

It is an arithmetic number, because the mean of its divisors is an integer number (1970400).

Almost surely, 2^42752472 is an apocalyptic number.

42752472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42752472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63052800).

42752472 is an abundant number, since it is smaller than the sum of its proper divisors (83353128).

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

42752472 is a wasteful number, since it uses less digits than its factorization.

42752472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8256 (or 8252 counting only the distinct ones).

The product of its digits is 31360, while the sum is 33.

The square root of 42752472 is about 6538.5374511430. The cubic root of 42752472 is about 349.6662723655. Note that the first 3 decimals are identical.

The spelling of 42752472 in words is "forty-two million, seven hundred fifty-two thousand, four hundred seventy-two".