37142712 has 120 divisors (see below), whose sum is σ = 109945440. Its totient is φ = 11702880.

The previous prime is 37142689. The next prime is 37142741. The reversal of 37142712 is 21724173.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 863763 + ... + 863805.

It is an arithmetic number, because the mean of its divisors is an integer number (916212).

Almost surely, 2^37142712 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 37142712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54972720).

37142712 is an abundant number, since it is smaller than the sum of its proper divisors (72802728).

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

37142712 is a wasteful number, since it uses less digits than its factorization.

37142712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 79 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 37142712 is about 6094.4820944851. The cubic root of 37142712 is about 333.6500571849.

Adding to 37142712 its reverse (21724173), we get a palindrome (58866885).

The spelling of 37142712 in words is "thirty-seven million, one hundred forty-two thousand, seven hundred twelve".