72066848 has 144 divisors (see below), whose sum is σ = 180986400. Its totient is φ = 28062720.

The previous prime is 72066823. The next prime is 72066857. The reversal of 72066848 is 84866027.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221443 + ... + 1221501.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^72066848 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 72066848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90493200).

72066848 is an abundant number, since it is smaller than the sum of its proper divisors (108919552).

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

72066848 is a wasteful number, since it uses less digits than its factorization.

72066848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 72066848 is about 8489.2195165398. The cubic root of 72066848 is about 416.1454742700.

The spelling of 72066848 in words is "seventy-two million, sixty-six thousand, eight hundred forty-eight".