72848880 has 240 divisors, whose sum is σ = 271086816. Its totient is φ = 17418240.

The previous prime is 72848879. The next prime is 72848887. The reversal of 72848880 is 8884827.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72848887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402390 + ... + 402570.

Almost surely, 2^72848880 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 72848880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135543408).

72848880 is an abundant number, since it is smaller than the sum of its proper divisors (198237936).

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

72848880 is a wasteful number, since it uses less digits than its factorization.

72848880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 72848880 is about 8535.1555346110. The cubic root of 72848880 is about 417.6453269160.

The spelling of 72848880 in words is "seventy-two million, eight hundred forty-eight thousand, eight hundred eighty".