37725408 has 72 divisors (see below), whose sum is σ = 122614128. Its totient is φ = 10778112.

The previous prime is 37725403. The next prime is 37725427. The reversal of 37725408 is 80452773.

37725408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37725403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7341 + ... + 11372.

It is an arithmetic number, because the mean of its divisors is an integer number (1702974).

Almost surely, 2^37725408 is an apocalyptic number.

It is an amenable number.

37725408 is an abundant number, since it is smaller than the sum of its proper divisors (84888720).

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

37725408 is a wasteful number, since it uses less digits than its factorization.

37725408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18736 (or 18725 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 37725408 is about 6142.1012691098. The cubic root of 37725408 is about 335.3857826396.

It can be divided in two parts, 3772 and 5408, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 37725408 in words is "thirty-seven million, seven hundred twenty-five thousand, four hundred eight".