37725642 has 32 divisors (see below), whose sum is σ = 84490560. Its totient is φ = 12476880.

The previous prime is 37725641. The next prime is 37725643. The reversal of 37725642 is 24652773.

It is a happy number.

37725642 is a `hidden beast` number, since 3 + 7 + 7 + 2 + 5 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (37725641) and next prime (37725643).

It is a junction number, because it is equal to n+sod(n) for n = 37725597 and 37725606.

It is not an unprimeable number, because it can be changed into a prime (37725641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4408 + ... + 9740.

It is an arithmetic number, because the mean of its divisors is an integer number (2640330).

Almost surely, 2^37725642 is an apocalyptic number.

37725642 is an abundant number, since it is smaller than the sum of its proper divisors (46764918).

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

37725642 is a wasteful number, since it uses less digits than its factorization.

37725642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475 (or 5469 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 37725642 is about 6142.1203179358. The cubic root of 37725642 is about 335.3864760725.

The spelling of 37725642 in words is "thirty-seven million, seven hundred twenty-five thousand, six hundred forty-two".