37363872 has 216 divisors, whose sum is σ = 126173376. Its totient is φ = 9644544.

The previous prime is 37363871. The next prime is 37363889. The reversal of 37363872 is 27836373.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

Its product of digits (127008) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 37363872.

It is not an unprimeable number, because it can be changed into a prime (37363871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 794953 + ... + 794999.

It is an arithmetic number, because the mean of its divisors is an integer number (584136).

Almost surely, 2^37363872 is an apocalyptic number.

37363872 is a gapful number since it is divisible by the number (32) 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 37363872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63086688).

37363872 is an abundant number, since it is smaller than the sum of its proper divisors (88809504).

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

37363872 is a wasteful number, since it uses less digits than its factorization.

37363872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The square root of 37363872 is about 6112.5994470438. The cubic root of 37363872 is about 334.3109681098.

The spelling of 37363872 in words is "thirty-seven million, three hundred sixty-three thousand, eight hundred seventy-two".