72834444 has 24 divisors (see below), whose sum is σ = 188830320. Its totient is φ = 24278112.

The previous prime is 72834439. The next prime is 72834473. The reversal of 72834444 is 44443827.

It is a happy number.

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 = 72834399 and 72834408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337089 + ... + 337304.

It is an arithmetic number, because the mean of its divisors is an integer number (7867930).

Almost surely, 2^72834444 is an apocalyptic number.

It is an amenable number.

72834444 is an abundant number, since it is smaller than the sum of its proper divisors (115995876).

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

72834444 is a wasteful number, since it uses less digits than its factorization.

72834444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674406 (or 674398 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 72834444 is about 8534.3098139217. The cubic root of 72834444 is about 417.6177377193.

The spelling of 72834444 in words is "seventy-two million, eight hundred thirty-four thousand, four hundred forty-four".