42801072 has 80 divisors (see below), whose sum is σ = 118206720. Its totient is φ = 13305600.

The previous prime is 42801047. The next prime is 42801097. The reversal of 42801072 is 27010824.

It is an interprime number because it is at equal distance from previous prime (42801047) and next prime (42801097).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 64422 + ... + 65082.

It is an arithmetic number, because the mean of its divisors is an integer number (1477584).

Almost surely, 2^42801072 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 42801072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59103360).

42801072 is an abundant number, since it is smaller than the sum of its proper divisors (75405648).

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

42801072 is a wasteful number, since it uses less digits than its factorization.

42801072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 42801072 is about 6542.2528229961. The cubic root of 42801072 is about 349.7987196427.

Adding to 42801072 its reverse (27010824), we get a palindrome (69811896).

The spelling of 42801072 in words is "forty-two million, eight hundred one thousand, seventy-two".