95272632 has 256 divisors, whose sum is σ = 337075200. Its totient is φ = 24261120.

The previous prime is 95272613. The next prime is 95272637. The reversal of 95272632 is 23627259.

It is a super-3 number, since 3×95272632³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95272637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727207 + ... + 727337.

It is an arithmetic number, because the mean of its divisors is an integer number (1316700).

Almost surely, 2^95272632 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 95272632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168537600).

95272632 is an abundant number, since it is smaller than the sum of its proper divisors (241802568).

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

95272632 is a wasteful number, since it uses less digits than its factorization.

95272632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 95272632 is about 9760.7700515892. The cubic root of 95272632 is about 456.7263355235.

95272632 divided by its sum of digits (36) gives a palindrome (2646462).

The spelling of 95272632 in words is "ninety-five million, two hundred seventy-two thousand, six hundred thirty-two".