72346092 has 96 divisors (see below), whose sum is σ = 210212352. Its totient is φ = 18855936.

The previous prime is 72346069. The next prime is 72346093. The reversal of 72346092 is 29064327.

It is not an unprimeable number, because it can be changed into a prime (72346093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105583 + ... + 106265.

It is an arithmetic number, because the mean of its divisors is an integer number (2189712).

Almost surely, 2^72346092 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 72346092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105106176).

72346092 is an abundant number, since it is smaller than the sum of its proper divisors (137866260).

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

72346092 is a wasteful number, since it uses less digits than its factorization.

72346092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 72346092 is about 8505.6505924003. The cubic root of 72346092 is about 416.6822738332.

The spelling of 72346092 in words is "seventy-two million, three hundred forty-six thousand, ninety-two".