37142272 has 36 divisors (see below), whose sum is σ = 76711320. Its totient is φ = 17927168.

The previous prime is 37142257. The next prime is 37142279. The reversal of 37142272 is 27224173.

It is a self number, because there is not a number n which added to its sum of digits gives 37142272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37142279) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4923 + ... + 9925.

It is an arithmetic number, because the mean of its divisors is an integer number (2130870).

Almost surely, 2^37142272 is an apocalyptic number.

37142272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38355660).

37142272 is an abundant number, since it is smaller than the sum of its proper divisors (39569048).

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

37142272 is an equidigital number, since it uses as much as digits as its factorization.

37142272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5034 counting only the distinct ones).

The product of its digits is 4704, while the sum is 28.

The square root of 37142272 is about 6094.4459961509. The cubic root of 37142272 is about 333.6487396846.

The spelling of 37142272 in words is "thirty-seven million, one hundred forty-two thousand, two hundred seventy-two".