75352368 has 120 divisors (see below), whose sum is σ = 241079808. Its totient is φ = 19858176.

The previous prime is 75352357. The next prime is 75352391. The reversal of 75352368 is 86325357.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56121 + ... + 57447.

Almost surely, 2^75352368 is an apocalyptic number.

75352368 is a gapful number since it is divisible by the number (78) 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 75352368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120539904).

75352368 is an abundant number, since it is smaller than the sum of its proper divisors (165727440).

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

75352368 is a wasteful number, since it uses less digits than its factorization.

75352368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1352 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 75352368 is about 8680.5741745578. The cubic root of 75352368 is about 422.3757425521.

The spelling of 75352368 in words is "seventy-five million, three hundred fifty-two thousand, three hundred sixty-eight".