37200045544272 has 240 divisors, whose sum is σ = 113027440103760. Its totient is φ = 11421077151744.

The previous prime is 37200045544241. The next prime is 37200045544297. The reversal of 37200045544272 is 27244554000273.

37200045544272 is a `hidden beast` number, since 3 + 7 + 20 + 0 + 0 + 4 + 554 + 4 + 2 + 72 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21561943658256 + 15638101886016 = 4643484^2 + 3954504^2 .

It is a super-2 number, since 2×37200045544272² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144451528 + ... + 144708824.

It is an arithmetic number, because the mean of its divisors is an integer number (470947667099).

Almost surely, 2^{37200045544272} 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 37200045544272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56513720051880).

37200045544272 is an abundant number, since it is smaller than the sum of its proper divisors (75827394559488).

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

37200045544272 is a wasteful number, since it uses less digits than its factorization.

37200045544272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257807 (or 257772 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 45.

The spelling of 37200045544272 in words is "thirty-seven trillion, two hundred billion, forty-five million, five hundred forty-four thousand, two hundred seventy-two".