37528272 has 100 divisors (see below), whose sum is σ = 113430240. Its totient is φ = 11956032.

The previous prime is 37528229. The next prime is 37528277. The reversal of 37528272 is 27282573.

It is a happy number.

37528272 is a `hidden beast` number, since 375 + 282 + 7 + 2 = 666.

It is a super-3 number, since 3×37528272³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37528277) 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 19 ways as a sum of consecutive naturals, for example, 29179 + ... + 30437.

Almost surely, 2^37528272 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 37528272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56715120).

37528272 is an abundant number, since it is smaller than the sum of its proper divisors (75901968).

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

37528272 is a wasteful number, since it uses less digits than its factorization.

37528272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1287 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 37528272 is about 6126.0323211684. The cubic root of 37528272 is about 334.8005703925.

The spelling of 37528272 in words is "thirty-seven million, five hundred twenty-eight thousand, two hundred seventy-two".