42520720 has 80 divisors (see below), whose sum is σ = 108832320. Its totient is φ = 15321600.

The previous prime is 42520717. The next prime is 42520739. The reversal of 42520720 is 2702524.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42520691 and 42520700.

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, 185566 + ... + 185794.

It is an arithmetic number, because the mean of its divisors is an integer number (1360404).

Almost surely, 2^42520720 is an apocalyptic number.

42520720 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 42520720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54416160).

42520720 is an abundant number, since it is smaller than the sum of its proper divisors (66311600).

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

42520720 is a wasteful number, since it uses less digits than its factorization.

42520720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 42520720 is about 6520.7913630172. The cubic root of 42520720 is about 349.0333052509.

The spelling of 42520720 in words is "forty-two million, five hundred twenty thousand, seven hundred twenty".