72068832 has 96 divisors (see below), whose sum is σ = 229340160. Its totient is φ = 21836160.

The previous prime is 72068807. The next prime is 72068839. The reversal of 72068832 is 23886027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 (72068839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5713 + ... + 13295.

It is an arithmetic number, because the mean of its divisors is an integer number (2388960).

Almost surely, 2^72068832 is an apocalyptic number.

72068832 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 72068832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114670080).

72068832 is an abundant number, since it is smaller than the sum of its proper divisors (157271328).

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

72068832 is a wasteful number, since it uses less digits than its factorization.

72068832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7613 (or 7599 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72068832 is about 8489.3363698230. The cubic root of 72068832 is about 416.1492930626.

It can be divided in two parts, 72068 and 832, that added together give a square (72900 = 270²).

The spelling of 72068832 in words is "seventy-two million, sixty-eight thousand, eight hundred thirty-two".