72828378 has 48 divisors (see below), whose sum is σ = 181696320. Its totient is φ = 20651328.

The previous prime is 72828359. The next prime is 72828383. The reversal of 72828378 is 87382827.

It is a super-2 number, since 2×72828378² = 10607945284221768, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15153 + ... + 19371.

It is an arithmetic number, because the mean of its divisors is an integer number (3785340).

Almost surely, 2^72828378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72828378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90848160).

72828378 is an abundant number, since it is smaller than the sum of its proper divisors (108867942).

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

72828378 is a wasteful number, since it uses less digits than its factorization.

72828378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4368 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 72828378 is about 8533.9544175019. The cubic root of 72828378 is about 417.6061436648.

The spelling of 72828378 in words is "seventy-two million, eight hundred twenty-eight thousand, three hundred seventy-eight".