75951330 has 128 divisors (see below), whose sum is σ = 229920768. Its totient is φ = 15628032.

The previous prime is 75951329. The next prime is 75951353. The reversal of 75951330 is 3315957.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 75951291 and 75951300.

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 63 ways as a sum of consecutive naturals, for example, 117067 + ... + 117713.

It is an arithmetic number, because the mean of its divisors is an integer number (1796256).

Almost surely, 2^75951330 is an apocalyptic number.

75951330 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75951330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114960384).

75951330 is an abundant number, since it is smaller than the sum of its proper divisors (153969438).

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

75951330 is a wasteful number, since it uses less digits than its factorization.

75951330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720.

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 75951330 is about 8715.0060240943. The cubic root of 75951330 is about 423.4919191461.

The spelling of 75951330 in words is "seventy-five million, nine hundred fifty-one thousand, three hundred thirty".