95272700768 has 192 divisors, whose sum is σ = 237694464000. Its totient is φ = 37431797760.

The previous prime is 95272700759. The next prime is 95272700777. The reversal of 95272700768 is 86700727259.

It is an interprime number because it is at equal distance from previous prime (95272700759) and next prime (95272700777).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6457496 + ... + 6472232.

It is an arithmetic number, because the mean of its divisors is an integer number (1237992000).

Almost surely, 2^95272700768 is an apocalyptic number.

95272700768 is a gapful number since it is divisible by the number (98) 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 95272700768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118847232000).

95272700768 is an abundant number, since it is smaller than the sum of its proper divisors (142421763232).

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

95272700768 is a wasteful number, since it uses less digits than its factorization.

95272700768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14818 (or 14796 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 53.

The spelling of 95272700768 in words is "ninety-five billion, two hundred seventy-two million, seven hundred thousand, seven hundred sixty-eight".