37842672 has 120 divisors (see below), whose sum is σ = 116226688. Its totient is φ = 10391040.

The previous prime is 37842671. The next prime is 37842691. The reversal of 37842672 is 27624873.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 37842672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37842671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564783 + ... + 564849.

Almost surely, 2^37842672 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 37842672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58113344).

37842672 is an abundant number, since it is smaller than the sum of its proper divisors (78384016).

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

37842672 is a wasteful number, since it uses less digits than its factorization.

37842672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 120 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 37842672 is about 6151.6397813916. The cubic root of 37842672 is about 335.7329226843.

The spelling of 37842672 in words is "thirty-seven million, eight hundred forty-two thousand, six hundred seventy-two".