95272560 has 120 divisors (see below), whose sum is σ = 323064144. Its totient is φ = 25159680.

The previous prime is 95272559. The next prime is 95272589. The reversal of 95272560 is 6527259.

95272560 is a `hidden beast` number, since 95 + 2 + 7 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80775 + ... + 81945.

Almost surely, 2^95272560 is an apocalyptic number.

95272560 is a gapful number since it is divisible by the number (90) 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 95272560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161532072).

95272560 is an abundant number, since it is smaller than the sum of its proper divisors (227791584).

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

95272560 is a wasteful number, since it uses less digits than its factorization.

95272560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 95272560 is about 9760.7663633549. The cubic root of 95272560 is about 456.7262204701.

The spelling of 95272560 in words is "ninety-five million, two hundred seventy-two thousand, five hundred sixty".