37216842 has 72 divisors (see below), whose sum is σ = 86294016. Its totient is φ = 10692864.

The previous prime is 37216811. The next prime is 37216843. The reversal of 37216842 is 24861273.

37216842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (16128) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (37216843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 292983 + ... + 293109.

It is an arithmetic number, because the mean of its divisors is an integer number (1198528).

Almost surely, 2^37216842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37216842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43147008).

37216842 is an abundant number, since it is smaller than the sum of its proper divisors (49077174).

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

37216842 is a wasteful number, since it uses less digits than its factorization.

37216842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 162 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 37216842 is about 6100.5607938943. The cubic root of 37216842 is about 333.8718776637.

The spelling of 37216842 in words is "thirty-seven million, two hundred sixteen thousand, eight hundred forty-two".