72491519100 has 864 divisors, whose sum is σ = 292781260800. Its totient is φ = 13433472000.

The previous prime is 72491519047. The next prime is 72491519123. The reversal of 72491519100 is 191519427.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 121020601 + ... + 121021199.

It is an arithmetic number, because the mean of its divisors is an integer number (338867200).

Almost surely, 2^72491519100 is an apocalyptic number.

72491519100 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 72491519100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146390630400).

72491519100 is an abundant number, since it is smaller than the sum of its proper divisors (220289741700).

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

72491519100 is a wasteful number, since it uses less digits than its factorization.

72491519100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The spelling of 72491519100 in words is "seventy-two billion, four hundred ninety-one million, five hundred nineteen thousand, one hundred".