37481472 has 198 divisors, whose sum is σ = 127413468. Its totient is φ = 10579968.

The previous prime is 37481459. The next prime is 37481473. The reversal of 37481472 is 27418473.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (37481473) 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 17 ways as a sum of consecutive naturals, for example, 451543 + ... + 451625.

Almost surely, 2^37481472 is an apocalyptic number.

37481472 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 37481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63706734).

37481472 is an abundant number, since it is smaller than the sum of its proper divisors (89931996).

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

37481472 is a wasteful number, since it uses less digits than its factorization.

37481472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 37481472 is about 6122.2113651850. The cubic root of 37481472 is about 334.6613403878.

The spelling of 37481472 in words is "thirty-seven million, four hundred eighty-one thousand, four hundred seventy-two".