95565672 has 96 divisors (see below), whose sum is σ = 275207400. Its totient is φ = 29901312.

The previous prime is 95565671. The next prime is 95565677. The reversal of 95565672 is 27656559.

It can be written as a sum of positive squares in 4 ways, for example, as 95531076 + 34596 = 9774^2 + 186^2 .

It is a super-3 number, since 3×95565672³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (95565671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76638 + ... + 77874.

Almost surely, 2^95565672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95565672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137603700).

95565672 is an abundant number, since it is smaller than the sum of its proper divisors (179641728).

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

95565672 is a wasteful number, since it uses less digits than its factorization.

95565672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1308 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 95565672 is about 9775.7696372204. The cubic root of 95565672 is about 457.1941232312.

The spelling of 95565672 in words is "ninety-five million, five hundred sixty-five thousand, six hundred seventy-two".