72890244 has 72 divisors (see below), whose sum is σ = 214905600. Its totient is φ = 20822256.

The previous prime is 72890239. The next prime is 72890273. The reversal of 72890244 is 44209827.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72890199 and 72890208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9397 + ... + 15299.

It is an arithmetic number, because the mean of its divisors is an integer number (2984800).

Almost surely, 2^72890244 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 72890244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107452800).

72890244 is an abundant number, since it is smaller than the sum of its proper divisors (142015356).

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

72890244 is a wasteful number, since it uses less digits than its factorization.

72890244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72890244 is about 8537.5783451749. The cubic root of 72890244 is about 417.7243590742.

The spelling of 72890244 in words is "seventy-two million, eight hundred ninety thousand, two hundred forty-four".