37872532 has 24 divisors (see below), whose sum is σ = 70376040. Its totient is φ = 17771520.

The previous prime is 37872517. The next prime is 37872539. The reversal of 37872532 is 23527873.

It can be written as a sum of positive squares in 4 ways, for example, as 6130576 + 31741956 = 2476^2 + 5634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 37872491 and 37872500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37872539) 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 7 ways as a sum of consecutive naturals, for example, 34894 + ... + 35962.

It is an arithmetic number, because the mean of its divisors is an integer number (2932335).

Almost surely, 2^37872532 is an apocalyptic number.

It is an amenable number.

37872532 is a deficient number, since it is larger than the sum of its proper divisors (32503508).

37872532 is a wasteful number, since it uses less digits than its factorization.

37872532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1609 counting only the distinct ones).

The product of its digits is 70560, while the sum is 37.

The square root of 37872532 is about 6154.0662979854. The cubic root of 37872532 is about 335.8212035318.

The spelling of 37872532 in words is "thirty-seven million, eight hundred seventy-two thousand, five hundred thirty-two".