72192132 has 72 divisors (see below), whose sum is σ = 194594400. Its totient is φ = 22487808.

The previous prime is 72192121. The next prime is 72192137. The reversal of 72192132 is 23129127.

It is a junction number, because it is equal to n+sod(n) for n = 72192096 and 72192105.

It is not an unprimeable number, because it can be changed into a prime (72192137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109219 + ... + 109877.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^72192132 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 72192132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97297200).

72192132 is an abundant number, since it is smaller than the sum of its proper divisors (122402268).

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

72192132 is a wasteful number, since it uses less digits than its factorization.

72192132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 860 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 72192132 is about 8496.5953181260. The cubic root of 72192132 is about 416.3864828529.

The spelling of 72192132 in words is "seventy-two million, one hundred ninety-two thousand, one hundred thirty-two".