72859488 has 96 divisors (see below), whose sum is σ = 208857600. Its totient is φ = 22104576.

The previous prime is 72859487. The next prime is 72859511. The reversal of 72859488 is 88495827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 72859488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72859487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98223 + ... + 98961.

It is an arithmetic number, because the mean of its divisors is an integer number (2175600).

Almost surely, 2^72859488 is an apocalyptic number.

72859488 is a gapful number since it is divisible by the number (78) 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 72859488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104428800).

72859488 is an abundant number, since it is smaller than the sum of its proper divisors (135998112).

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

72859488 is a wasteful number, since it uses less digits than its factorization.

72859488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 836 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 72859488 is about 8535.7769417904. The cubic root of 72859488 is about 417.6655979510.

The spelling of 72859488 in words is "seventy-two million, eight hundred fifty-nine thousand, four hundred eighty-eight".