75387752352 has 144 divisors (see below), whose sum is σ = 242535619872. Its totient is φ = 22844747520.

The previous prime is 75387752351. The next prime is 75387752353. The reversal of 75387752352 is 25325778357.

75387752352 is a `hidden beast` number, since 7 + 538 + 7 + 7 + 52 + 3 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (75387752351) and next prime (75387752353).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (75387752351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355143 + ... + 526214.

It is an arithmetic number, because the mean of its divisors is an integer number (1684275138).

Almost surely, 2^75387752352 is an apocalyptic number.

75387752352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75387752352 is an abundant number, since it is smaller than the sum of its proper divisors (167147867520).

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

75387752352 is a wasteful number, since it uses less digits than its factorization.

75387752352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881393 (or 881373 counting only the distinct ones).

The product of its digits is 12348000, while the sum is 54.

The spelling of 75387752352 in words is "seventy-five billion, three hundred eighty-seven million, seven hundred fifty-two thousand, three hundred fifty-two".