95038272 has 224 divisors, whose sum is σ = 326583040. Its totient is φ = 26873856.

The previous prime is 95038271. The next prime is 95038283. The reversal of 95038272 is 27283059.

It is a happy number.

95038272 is a `hidden beast` number, since 9 + 503 + 82 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 (95038271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979728 + ... + 979824.

It is an arithmetic number, because the mean of its divisors is an integer number (1457960).

Almost surely, 2^95038272 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 95038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163291520).

95038272 is an abundant number, since it is smaller than the sum of its proper divisors (231544768).

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

95038272 is an frugal number, since it uses more digits than its factorization.

95038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 95038272 is about 9748.7574592868. The cubic root of 95038272 is about 456.3515294910.

The spelling of 95038272 in words is "ninety-five million, thirty-eight thousand, two hundred seventy-two".