39187072 has 16 divisors (see below), whose sum is σ = 78068250. Its totient is φ = 19593472.

The previous prime is 39187037. The next prime is 39187073. The reversal of 39187072 is 27078193.

It can be written as a sum of positive squares in only one way, i.e., 35712576 + 3474496 = 5976^2 + 1864^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×39187072² = 3071253223866368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (39187073) 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 as a sum of consecutive naturals, namely, 152947 + ... + 153202.

Almost surely, 2^39187072 is an apocalyptic number.

39187072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

39187072 is a deficient number, since it is larger than the sum of its proper divisors (38881178).

39187072 is an equidigital number, since it uses as much as digits as its factorization.

39187072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306163 (or 306151 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 39187072 is about 6259.9578273340. The cubic root of 39187072 is about 339.6625024676.

The spelling of 39187072 in words is "thirty-nine million, one hundred eighty-seven thousand, seventy-two".