37141272 has 48 divisors (see below), whose sum is σ = 114962640. Its totient is φ = 10611648.

The previous prime is 37141271. The next prime is 37141309. The reversal of 37141272 is 27214173.

It is a happy number.

37141272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37141271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36343 + ... + 37350.

It is an arithmetic number, because the mean of its divisors is an integer number (2395055).

Almost surely, 2^37141272 is an apocalyptic number.

It is an amenable number.

37141272 is an abundant number, since it is smaller than the sum of its proper divisors (77821368).

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

37141272 is a wasteful number, since it uses less digits than its factorization.

37141272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73712 (or 73705 counting only the distinct ones).

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

The square root of 37141272 is about 6094.3639536870. The cubic root of 37141272 is about 333.6457453270.

The spelling of 37141272 in words is "thirty-seven million, one hundred forty-one thousand, two hundred seventy-two".