72585032448 has 144 divisors (see below), whose sum is σ = 202126417920. Its totient is φ = 23080476672.

The previous prime is 72585032419. The next prime is 72585032483. The reversal of 72585032448 is 84423058527.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 72585032397 and 72585032406.

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, 6759948 + ... + 6770676.

It is an arithmetic number, because the mean of its divisors is an integer number (1403655680).

Almost surely, 2^72585032448 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 72585032448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101063208960).

72585032448 is an abundant number, since it is smaller than the sum of its proper divisors (129541385472).

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

72585032448 is a wasteful number, since it uses less digits than its factorization.

72585032448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11154 (or 11140 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 72585032448 in words is "seventy-two billion, five hundred eighty-five million, thirty-two thousand, four hundred forty-eight".