37672480 has 48 divisors (see below), whose sum is σ = 89581464. Its totient is φ = 14970880.

The previous prime is 37672469. The next prime is 37672487. The reversal of 37672480 is 8427673.

It can be written as a sum of positive squares in 4 ways, for example, as 31854736 + 5817744 = 5644^2 + 2412^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37672487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27000 + ... + 28360.

Almost surely, 2^37672480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44790732).

37672480 is an abundant number, since it is smaller than the sum of its proper divisors (51908984).

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

37672480 is a wasteful number, since it uses less digits than its factorization.

37672480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 37672480 is about 6137.7911336245. The cubic root of 37672480 is about 335.2288626954.

The spelling of 37672480 in words is "thirty-seven million, six hundred seventy-two thousand, four hundred eighty".