37672960 has 96 divisors (see below), whose sum is σ = 97690320. Its totient is φ = 13860864.

The previous prime is 37672949. The next prime is 37672963. The reversal of 37672960 is 6927673.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37672963) 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, 132979 + ... + 133261.

Almost surely, 2^37672960 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 37672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48845160).

37672960 is an abundant number, since it is smaller than the sum of its proper divisors (60017360).

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

37672960 is a wasteful number, since it uses less digits than its factorization.

37672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 37672960 is about 6137.8302355148. The cubic root of 37672960 is about 335.2302864507.

The spelling of 37672960 in words is "thirty-seven million, six hundred seventy-two thousand, nine hundred sixty".