37141920 has 72 divisors (see below), whose sum is σ = 126751716. Its totient is φ = 9904128.

The previous prime is 37141913. The next prime is 37141997. The reversal of 37141920 is 2914173.

37141920 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 2 ways, for example, as 33315984 + 3825936 = 5772^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11457 + ... + 14336.

Almost surely, 2^37141920 is an apocalyptic number.

37141920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37141920 is an abundant number, since it is smaller than the sum of its proper divisors (89609796).

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

37141920 is a wasteful number, since it uses less digits than its factorization.

37141920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25814 (or 25803 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 37141920 is about 6094.4171173296. The cubic root of 37141920 is about 333.6476856768.

The spelling of 37141920 in words is "thirty-seven million, one hundred forty-one thousand, nine hundred twenty".