37126368 has 72 divisors (see below), whose sum is σ = 111803328. Its totient is φ = 11645952.

The previous prime is 37126367. The next prime is 37126373. The reversal of 37126368 is 86362173.

It is a happy number.

37126368 is a `hidden beast` number, since 3 + 7 + 12 + 636 + 8 = 666.

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

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37126367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1105 + ... + 8687.

It is an arithmetic number, because the mean of its divisors is an integer number (1552824).

Almost surely, 2^37126368 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 37126368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55901664).

37126368 is an abundant number, since it is smaller than the sum of its proper divisors (74676960).

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

37126368 is a wasteful number, since it uses less digits than its factorization.

37126368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 7605 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 37126368 is about 6093.1410618826. The cubic root of 37126368 is about 333.6011110499.

The spelling of 37126368 in words is "thirty-seven million, one hundred twenty-six thousand, three hundred sixty-eight".