37275042 has 64 divisors (see below), whose sum is σ = 90906624. Its totient is φ = 9958080.

The previous prime is 37275037. The next prime is 37275047. The reversal of 37275042 is 24057273.

It is an interprime number because it is at equal distance from previous prime (37275037) and next prime (37275047).

It is a super-2 number, since 2×37275042² = 2778857512203528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37275047) 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 31 ways as a sum of consecutive naturals, for example, 44992 + ... + 45812.

It is an arithmetic number, because the mean of its divisors is an integer number (1420416).

Almost surely, 2^37275042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37275042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45453312).

37275042 is an abundant number, since it is smaller than the sum of its proper divisors (53631582).

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

37275042 is a wasteful number, since it uses less digits than its factorization.

37275042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903.

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 37275042 is about 6105.3289837649. The cubic root of 37275042 is about 334.0458242074.

The spelling of 37275042 in words is "thirty-seven million, two hundred seventy-five thousand, forty-two".