72830448 has 160 divisors (see below), whose sum is σ = 227128320. Its totient is φ = 22256640.

The previous prime is 72830447. The next prime is 72830449. The reversal of 72830448 is 84403827.

It is an interprime number because it is at equal distance from previous prime (72830447) and next prime (72830449).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72830447) 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, 345063 + ... + 345273.

It is an arithmetic number, because the mean of its divisors is an integer number (1419552).

Almost surely, 2^72830448 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 72830448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113564160).

72830448 is an abundant number, since it is smaller than the sum of its proper divisors (154297872).

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

72830448 is a wasteful number, since it uses less digits than its factorization.

72830448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 72830448 is about 8534.0756968754. The cubic root of 72830448 is about 417.6101001653.

The spelling of 72830448 in words is "seventy-two million, eight hundred thirty thousand, four hundred forty-eight".