72001548 has 120 divisors (see below), whose sum is σ = 199214400. Its totient is φ = 22643712.

The previous prime is 72001543. The next prime is 72001591. The reversal of 72001548 is 84510027.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72001541) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 742236 + ... + 742332.

It is an arithmetic number, because the mean of its divisors is an integer number (1660120).

Almost surely, 2^72001548 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 72001548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99607200).

72001548 is an abundant number, since it is smaller than the sum of its proper divisors (127212852).

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

72001548 is a wasteful number, since it uses less digits than its factorization.

72001548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72001548 is about 8485.3725905231. The cubic root of 72001548 is about 416.0197460425.

The spelling of 72001548 in words is "seventy-two million, one thousand, five hundred forty-eight".