37212500 has 72 divisors (see below), whose sum is σ = 88041240. Its totient is φ = 13680000.

The previous prime is 37212479. The next prime is 37212509. The reversal of 37212500 is 521273.

37212500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 36820624 + 391876 = 6068^2 + 626^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37212509) 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 23 ways as a sum of consecutive naturals, for example, 162386 + ... + 162614.

It is an arithmetic number, because the mean of its divisors is an integer number (1222795).

Almost surely, 2^37212500 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 37212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44020620).

37212500 is an abundant number, since it is smaller than the sum of its proper divisors (50828740).

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

37212500 is a wasteful number, since it uses less digits than its factorization.

37212500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 37212500 is about 6100.2049145910. The cubic root of 37212500 is about 333.8588931474.

Adding to 37212500 its reverse (521273), we get a palindrome (37733773).

It can be divided in two parts, 3721 and 2500, that multiplied together give a square (9302500 = 3050²).

The spelling of 37212500 in words is "thirty-seven million, two hundred twelve thousand, five hundred".