72143292 has 48 divisors (see below), whose sum is σ = 181988352. Its totient is φ = 22111680.

The previous prime is 72143287. The next prime is 72143299. The reversal of 72143292 is 29234127.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72143299) 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, 47773 + ... + 49259.

It is an arithmetic number, because the mean of its divisors is an integer number (3791424).

Almost surely, 2^72143292 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 72143292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90994176).

72143292 is an abundant number, since it is smaller than the sum of its proper divisors (109845060).

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

72143292 is a wasteful number, since it uses less digits than its factorization.

72143292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1816 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 72143292 is about 8493.7207394639. The cubic root of 72143292 is about 416.2925626291.

The spelling of 72143292 in words is "seventy-two million, one hundred forty-three thousand, two hundred ninety-two".