72283904 has 144 divisors (see below), whose sum is σ = 190337280. Its totient is φ = 26542080.

The previous prime is 72283901. The next prime is 72283919. The reversal of 72283904 is 40938227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72283901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374432 + ... + 374624.

Almost surely, 2^72283904 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 72283904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95168640).

72283904 is an abundant number, since it is smaller than the sum of its proper divisors (118053376).

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

72283904 is a wasteful number, since it uses less digits than its factorization.

72283904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 72283904 is about 8501.9941190288. The cubic root of 72283904 is about 416.5628475918.

The spelling of 72283904 in words is "seventy-two million, two hundred eighty-three thousand, nine hundred four".