75463920 has 480 divisors, whose sum is σ = 325693440. Its totient is φ = 15966720.

The previous prime is 75463919. The next prime is 75463937. The reversal of 75463920 is 2936457.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2434305 + ... + 2434335.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 2^75463920 is an apocalyptic number.

75463920 is a gapful number since it is divisible by the number (70) 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 75463920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

75463920 is an abundant number, since it is smaller than the sum of its proper divisors (250229520).

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

75463920 is a wasteful number, since it uses less digits than its factorization.

75463920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 75463920 is about 8686.9971796933. The cubic root of 75463920 is about 422.5840687955.

The spelling of 75463920 in words is "seventy-five million, four hundred sixty-three thousand, nine hundred twenty".