72236892 has 96 divisors (see below), whose sum is σ = 210212352. Its totient is φ = 18798336.

The previous prime is 72236881. The next prime is 72236959. The reversal of 72236892 is 29863227.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 72236892.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90238 + ... + 91034.

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

Almost surely, 2^72236892 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 72236892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105106176).

72236892 is an abundant number, since it is smaller than the sum of its proper divisors (137975460).

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

72236892 is a wasteful number, since it uses less digits than its factorization.

72236892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 905 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 72236892 is about 8499.2289062008. The cubic root of 72236892 is about 416.4725199688.

The spelling of 72236892 in words is "seventy-two million, two hundred thirty-six thousand, eight hundred ninety-two".