72489768 has 128 divisors (see below), whose sum is σ = 210470400. Its totient is φ = 20606976.

The previous prime is 72489757. The next prime is 72489773. The reversal of 72489768 is 86798427.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 72489768.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418930 + ... + 419102.

It is an arithmetic number, because the mean of its divisors is an integer number (1644300).

Almost surely, 2^72489768 is an apocalyptic number.

72489768 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 72489768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105235200).

72489768 is an abundant number, since it is smaller than the sum of its proper divisors (137980632).

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

72489768 is a wasteful number, since it uses less digits than its factorization.

72489768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 72489768 is about 8514.0923180337. The cubic root of 72489768 is about 416.9579286898.

The spelling of 72489768 in words is "seventy-two million, four hundred eighty-nine thousand, seven hundred sixty-eight".