72498672 has 80 divisors (see below), whose sum is σ = 209227680. Its totient is φ = 24035328.

The previous prime is 72498667. The next prime is 72498689. The reversal of 72498672 is 27689427.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110698 + ... + 111350.

It is an arithmetic number, because the mean of its divisors is an integer number (2615346).

Almost surely, 2^72498672 is an apocalyptic number.

72498672 is a gapful number since it is divisible by the number (72) 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 72498672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104613840).

72498672 is an abundant number, since it is smaller than the sum of its proper divisors (136729008).

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

72498672 is a wasteful number, since it uses less digits than its factorization.

72498672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 915 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 72498672 is about 8514.6151997609. The cubic root of 72498672 is about 416.9749997951.

The spelling of 72498672 in words is "seventy-two million, four hundred ninety-eight thousand, six hundred seventy-two".