43975120 has 80 divisors (see below), whose sum is σ = 123027840. Its totient is φ = 14280192.

The previous prime is 43975093. The next prime is 43975133. The reversal of 43975120 is 2157934.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×43975120² = 3867622358028800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8574 + ... + 12706.

It is an arithmetic number, because the mean of its divisors is an integer number (1537848).

Almost surely, 2^43975120 is an apocalyptic number.

43975120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43975120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61513920).

43975120 is an abundant number, since it is smaller than the sum of its proper divisors (79052720).

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

43975120 is a wasteful number, since it uses less digits than its factorization.

43975120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 43975120 is about 6631.3739149591. The cubic root of 43975120 is about 352.9682792695.

The spelling of 43975120 in words is "forty-three million, nine hundred seventy-five thousand, one hundred twenty".