37725440 has 36 divisors (see below), whose sum is σ = 90367284. Its totient is φ = 15089664.

The previous prime is 37725439. The next prime is 37725449. The reversal of 37725440 is 4452773.

It can be written as a sum of positive squares in 2 ways, for example, as 11182336 + 26543104 = 3344^2 + 5152^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 37725397 and 37725406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37725449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13457 + ... + 16016.

Almost surely, 2^37725440 is an apocalyptic number.

It is an amenable number.

37725440 is an abundant number, since it is smaller than the sum of its proper divisors (52641844).

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

37725440 is an equidigital number, since it uses as much as digits as its factorization.

37725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29494 (or 29480 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 37725440 is about 6142.1038740809. The cubic root of 37725440 is about 335.3858774682.

The spelling of 37725440 in words is "thirty-seven million, seven hundred twenty-five thousand, four hundred forty".