42720756 has 48 divisors (see below), whose sum is σ = 109396224. Its totient is φ = 12894336.

The previous prime is 42720739. The next prime is 42720757. The reversal of 42720756 is 65702724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42720757) 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, 5685 + ... + 10851.

It is an arithmetic number, because the mean of its divisors is an integer number (2279088).

Almost surely, 2^42720756 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 42720756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54698112).

42720756 is an abundant number, since it is smaller than the sum of its proper divisors (66675468).

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

42720756 is a wasteful number, since it uses less digits than its factorization.

42720756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 42720756 is about 6536.1116881522. Note that the first 3 decimals coincide. The cubic root of 42720756 is about 349.5797841190.

The spelling of 42720756 in words is "forty-two million, seven hundred twenty thousand, seven hundred fifty-six".