72948489810 has 192 divisors, whose sum is σ = 215693632512. Its totient is φ = 15710454144.

The previous prime is 72948489799. The next prime is 72948489811. The reversal of 72948489810 is 1898484927.

It is a happy number.

It is a super-2 number, since 2×72948489810² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72948489811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2249169 + ... + 2281371.

It is an arithmetic number, because the mean of its divisors is an integer number (1123404336).

Almost surely, 2^72948489810 is an apocalyptic number.

72948489810 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72948489810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107846816256).

72948489810 is an abundant number, since it is smaller than the sum of its proper divisors (142745142702).

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

72948489810 is a wasteful number, since it uses less digits than its factorization.

72948489810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32317 (or 32310 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 72948489810 in words is "seventy-two billion, nine hundred forty-eight million, four hundred eighty-nine thousand, eight hundred ten".