37272144 has 240 divisors, whose sum is σ = 128241792. Its totient is φ = 9225216.

The previous prime is 37272139. The next prime is 37272149. The reversal of 37272144 is 44127273.

It is an interprime number because it is at equal distance from previous prime (37272139) and next prime (37272149).

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 (37272149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 703222 + ... + 703274.

Almost surely, 2^37272144 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 37272144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64120896).

37272144 is an abundant number, since it is smaller than the sum of its proper divisors (90969648).

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

37272144 is a wasteful number, since it uses less digits than its factorization.

37272144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 37272144 is about 6105.0916455038. The cubic root of 37272144 is about 334.0371670306.

The spelling of 37272144 in words is "thirty-seven million, two hundred seventy-two thousand, one hundred forty-four".