37268712 has 96 divisors (see below), whose sum is σ = 112530600. Its totient is φ = 11063808.

The previous prime is 37268711. The next prime is 37268729. The reversal of 37268712 is 21786273.

It can be written as a sum of positive squares in 4 ways, for example, as 35212356 + 2056356 = 5934^2 + 1434^2 .

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 (37268711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26458 + ... + 27830.

Almost surely, 2^37268712 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 37268712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56265300).

37268712 is an abundant number, since it is smaller than the sum of its proper divisors (75261888).

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

37268712 is a wasteful number, since it uses less digits than its factorization.

37268712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1420 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 37268712 is about 6104.8105621714. The cubic root of 37268712 is about 334.0269140586.

The spelling of 37268712 in words is "thirty-seven million, two hundred sixty-eight thousand, seven hundred twelve".