72884292 has 72 divisors (see below), whose sum is σ = 186800544. Its totient is φ = 22104576.

The previous prime is 72884281. The next prime is 72884297. The reversal of 72884292 is 29248827.

It is not an unprimeable number, because it can be changed into a prime (72884297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168108 + ... + 168540.

It is an arithmetic number, because the mean of its divisors is an integer number (2594452).

Almost surely, 2^72884292 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 72884292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93400272).

72884292 is an abundant number, since it is smaller than the sum of its proper divisors (113916252).

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

72884292 is a wasteful number, since it uses less digits than its factorization.

72884292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 534 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 72884292 is about 8537.2297614624. The cubic root of 72884292 is about 417.7129887228.

The spelling of 72884292 in words is "seventy-two million, eight hundred eighty-four thousand, two hundred ninety-two".