42502272 has 64 divisors (see below), whose sum is σ = 113799360. Its totient is φ = 14054400.

The previous prime is 42502253. The next prime is 42502283. The reversal of 42502272 is 27220524.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×42502272³ (a number of 24 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 57618 + ... + 58350.

It is an arithmetic number, because the mean of its divisors is an integer number (1778115).

Almost surely, 2^42502272 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 42502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56899680).

42502272 is an abundant number, since it is smaller than the sum of its proper divisors (71297088).

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

42502272 is a wasteful number, since it uses less digits than its factorization.

42502272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 42502272 is about 6519.3766573193. The cubic root of 42502272 is about 348.9828208608.

Adding to 42502272 its reverse (27220524), we get a palindrome (69722796).

The spelling of 42502272 in words is "forty-two million, five hundred two thousand, two hundred seventy-two".