72095832 has 160 divisors (see below), whose sum is σ = 216289920. Its totient is φ = 22394880.

The previous prime is 72095797. The next prime is 72095867. The reversal of 72095832 is 23859027.

It is a happy number.

72095832 is a `hidden beast` number, since 72 + 0 + 9 + 583 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72095797) and next prime (72095867).

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 39 ways as a sum of consecutive naturals, for example, 743208 + ... + 743304.

It is an arithmetic number, because the mean of its divisors is an integer number (1351812).

Almost surely, 2^72095832 is an apocalyptic number.

72095832 is a gapful number since it is divisible by the number (72) 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 72095832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108144960).

72095832 is an abundant number, since it is smaller than the sum of its proper divisors (144194088).

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

72095832 is a wasteful number, since it uses less digits than its factorization.

72095832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

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

The square root of 72095832 is about 8490.9264512184. The cubic root of 72095832 is about 416.2012555533.

It can be divided in two parts, 72095 and 832, that added together give a palindrome (72927).

The spelling of 72095832 in words is "seventy-two million, ninety-five thousand, eight hundred thirty-two".