42507972 has 72 divisors (see below), whose sum is σ = 117692120. Its totient is φ = 12856320.

The previous prime is 42507967. The next prime is 42507977. The reversal of 42507972 is 27970524.

It is an interprime number because it is at equal distance from previous prime (42507967) and next prime (42507977).

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 39765636 = 1656^2 + 6306^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42507977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27804 + ... + 29292.

Almost surely, 2^42507972 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 42507972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58846060).

42507972 is an abundant number, since it is smaller than the sum of its proper divisors (75184148).

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

42507972 is a wasteful number, since it uses less digits than its factorization.

42507972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 42507972 is about 6519.8138010222. The cubic root of 42507972 is about 348.9984209144.

The spelling of 42507972 in words is "forty-two million, five hundred seven thousand, nine hundred seventy-two".