37872852 has 48 divisors (see below), whose sum is σ = 95208960. Its totient is φ = 11678688.

The previous prime is 37872851. The next prime is 37872853. The reversal of 37872852 is 25827873.

It is an interprime number because it is at equal distance from previous prime (37872851) and next prime (37872853).

It is a super-2 number, since 2×37872852² = 2868705837227808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37872851) 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 15 ways as a sum of consecutive naturals, for example, 7873 + ... + 11735.

It is an arithmetic number, because the mean of its divisors is an integer number (1983520).

Almost surely, 2^37872852 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 37872852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47604480).

37872852 is an abundant number, since it is smaller than the sum of its proper divisors (57336108).

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

37872852 is a wasteful number, since it uses less digits than its factorization.

37872852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3930 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 37872852 is about 6154.0922970004. The cubic root of 37872852 is about 335.8221493579.

The spelling of 37872852 in words is "thirty-seven million, eight hundred seventy-two thousand, eight hundred fifty-two".