75520368 has 240 divisors, whose sum is σ = 270816000. Its totient is φ = 19474560.

The previous prime is 75520363. The next prime is 75520369. The reversal of 75520368 is 86302557.

75520368 is a `hidden beast` number, since 75 + 520 + 3 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75520363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543243 + ... + 543381.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 2^75520368 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 75520368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408000).

75520368 is an abundant number, since it is smaller than the sum of its proper divisors (195295632).

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

75520368 is a wasteful number, since it uses less digits than its factorization.

75520368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 75520368 is about 8690.2455661506. The cubic root of 75520368 is about 422.6894086730.

The spelling of 75520368 in words is "seventy-five million, five hundred twenty thousand, three hundred sixty-eight".