42715120 has 80 divisors (see below), whose sum is σ = 114992640. Its totient is φ = 14452992.

The previous prime is 42715111. The next prime is 42715121. The reversal of 42715120 is 2151724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×42715120² = 3649162953228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42715091 and 42715100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42715121) 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, 46021 + ... + 46939.

It is an arithmetic number, because the mean of its divisors is an integer number (1437408).

Almost surely, 2^42715120 is an apocalyptic number.

42715120 is a gapful number since it is divisible by the number (40) 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 42715120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57496320).

42715120 is an abundant number, since it is smaller than the sum of its proper divisors (72277520).

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

42715120 is a wasteful number, since it uses less digits than its factorization.

42715120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 42715120 is about 6535.6805307481. The cubic root of 42715120 is about 349.5644104967.

Adding to 42715120 its reverse (2151724), we get a palindrome (44866844).

The spelling of 42715120 in words is "forty-two million, seven hundred fifteen thousand, one hundred twenty".