75503376 has 120 divisors (see below), whose sum is σ = 232157016. Its totient is φ = 22763520.

The previous prime is 75503371. The next prime is 75503387. The reversal of 75503376 is 67330557.

75503376 is a `hidden beast` number, since 7 + 550 + 33 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 230400 + 75272976 = 480^2 + 8676^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 75503376.

It is not an unprimeable number, because it can be changed into a prime (75503371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98836 + ... + 99596.

Almost surely, 2^75503376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75503376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116078508).

75503376 is an abundant number, since it is smaller than the sum of its proper divisors (156653640).

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

75503376 is a wasteful number, since it uses less digits than its factorization.

75503376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 75503376 is about 8689.2678632897. The cubic root of 75503376 is about 422.6577047440.

The spelling of 75503376 in words is "seventy-five million, five hundred three thousand, three hundred seventy-six".