75092952312 has 256 divisors, whose sum is σ = 253249920000. Its totient is φ = 20138595840.

The previous prime is 75092952307. The next prime is 75092952373. The reversal of 75092952312 is 21325929057.

It is a super-2 number, since 2×75092952312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3119362 + ... + 3143342.

It is an arithmetic number, because the mean of its divisors is an integer number (989257500).

Almost surely, 2^75092952312 is an apocalyptic number.

75092952312 is a gapful number since it is divisible by the number (72) 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 75092952312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126624960000).

75092952312 is an abundant number, since it is smaller than the sum of its proper divisors (178156967688).

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

75092952312 is a wasteful number, since it uses less digits than its factorization.

75092952312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24131 (or 24121 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 75092952312 in words is "seventy-five billion, ninety-two million, nine hundred fifty-two thousand, three hundred twelve".