37225104 has 200 divisors, whose sum is σ = 125036640. Its totient is φ = 9483264.

The previous prime is 37225103. The next prime is 37225129. The reversal of 37225104 is 40152273.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (37225103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1959207 + ... + 1959225.

Almost surely, 2^37225104 is an apocalyptic number.

37225104 is a gapful number since it is divisible by the number (34) 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 37225104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62518320).

37225104 is an abundant number, since it is smaller than the sum of its proper divisors (87811536).

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

37225104 is a wasteful number, since it uses less digits than its factorization.

37225104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 37225104 is about 6101.2379071792. The cubic root of 37225104 is about 333.8965819392.

Adding to 37225104 its reverse (40152273), we get a palindrome (77377377).

The spelling of 37225104 in words is "thirty-seven million, two hundred twenty-five thousand, one hundred four".