72830648 has 64 divisors (see below), whose sum is σ = 160617600. Its totient is φ = 30602880.

The previous prime is 72830623. The next prime is 72830663. The reversal of 72830648 is 84603827.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71390 + ... + 72402.

It is an arithmetic number, because the mean of its divisors is an integer number (2509650).

Almost surely, 2^72830648 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 72830648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80308800).

72830648 is an abundant number, since it is smaller than the sum of its proper divisors (87786952).

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

72830648 is a wasteful number, since it uses less digits than its factorization.

72830648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 72830648 is about 8534.0874145980. The cubic root of 72830648 is about 417.6104824319.

The spelling of 72830648 in words is "seventy-two million, eight hundred thirty thousand, six hundred forty-eight".