72898560 has 288 divisors, whose sum is σ = 291301920. Its totient is φ = 16515072.

The previous prime is 72898537. The next prime is 72898561. The reversal of 72898560 is 6589827.

72898560 is a `hidden beast` number, since 7 + 2 + 89 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (72898561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645064 + ... + 645176.

It is an arithmetic number, because the mean of its divisors is an integer number (1011465).

Almost surely, 2^72898560 is an apocalyptic number.

72898560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145650960).

72898560 is an abundant number, since it is smaller than the sum of its proper divisors (218403360).

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

72898560 is a wasteful number, since it uses less digits than its factorization.

72898560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 72898560 is about 8538.0653546339. The cubic root of 72898560 is about 417.7402444359.

The spelling of 72898560 in words is "seventy-two million, eight hundred ninety-eight thousand, five hundred sixty".