95072892 has 48 divisors (see below), whose sum is σ = 235318272. Its totient is φ = 29810880.

The previous prime is 95072863. The next prime is 95072927. The reversal of 95072892 is 29827059.

95072892 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

95072892 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14013 + ... + 19659.

It is an arithmetic number, because the mean of its divisors is an integer number (4902464).

Almost surely, 2^95072892 is an apocalyptic number.

95072892 is a gapful number since it is divisible by the number (92) 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 95072892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117659136).

95072892 is an abundant number, since it is smaller than the sum of its proper divisors (140245380).

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

95072892 is a wasteful number, since it uses less digits than its factorization.

95072892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 95072892 is about 9750.5329085133. The cubic root of 95072892 is about 456.4069351419.

The spelling of 95072892 in words is "ninety-five million, seventy-two thousand, eight hundred ninety-two".