37672441 has 8 divisors (see below), whose sum is σ = 38388168. Its totient is φ = 36960000.

The previous prime is 37672403. The next prime is 37672451. The reversal of 37672441 is 14427673.

It can be written as a sum of positive squares in 4 ways, for example, as 511225 + 37161216 = 715^2 + 6096^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37672441 - 2⁹ = 37671929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37672397 and 37672406.

It is not an unprimeable number, because it can be changed into a prime (37672451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42321 + ... + 43201.

It is an arithmetic number, because the mean of its divisors is an integer number (4798521).

Almost surely, 2^37672441 is an apocalyptic number.

It is an amenable number.

37672441 is a deficient number, since it is larger than the sum of its proper divisors (715727).

37672441 is an equidigital number, since it uses as much as digits as its factorization.

37672441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643.

The product of its digits is 28224, while the sum is 34.

The square root of 37672441 is about 6137.7879565850. The cubic root of 37672441 is about 335.2287470148.

The spelling of 37672441 in words is "thirty-seven million, six hundred seventy-two thousand, four hundred forty-one".