37872216 has 48 divisors (see below), whose sum is σ = 104264160. Its totient is φ = 12415680.

The previous prime is 37872199. The next prime is 37872217. The reversal of 37872216 is 61227873.

37872216 is a `hidden beast` number, since 378 + 72 + 216 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37872217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81 + ... + 8703.

It is an arithmetic number, because the mean of its divisors is an integer number (2172170).

Almost surely, 2^37872216 is an apocalyptic number.

37872216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37872216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52132080).

37872216 is an abundant number, since it is smaller than the sum of its proper divisors (66391944).

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

37872216 is a wasteful number, since it uses less digits than its factorization.

37872216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8696 (or 8689 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 37872216 is about 6154.0406238503. The cubic root of 37872216 is about 335.8202695234.

The spelling of 37872216 in words is "thirty-seven million, eight hundred seventy-two thousand, two hundred sixteen".