72848544 has 48 divisors (see below), whose sum is σ = 199547712. Its totient is φ = 23226368.

The previous prime is 72848537. The next prime is 72848549. The reversal of 72848544 is 44584827.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 72848496 and 72848505.

It is not an unprimeable number, because it can be changed into a prime (72848549) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14289 + ... + 18704.

It is an arithmetic number, because the mean of its divisors is an integer number (4157244).

Almost surely, 2^72848544 is an apocalyptic number.

It is an amenable number.

72848544 is an abundant number, since it is smaller than the sum of its proper divisors (126699168).

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

72848544 is a wasteful number, since it uses less digits than its factorization.

72848544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33029 (or 33021 counting only the distinct ones).

The product of its digits is 286720, while the sum is 42.

The square root of 72848544 is about 8535.1358512914. The cubic root of 72848544 is about 417.6446848148.

The spelling of 72848544 in words is "seventy-two million, eight hundred forty-eight thousand, five hundred forty-four".