72487746240 has 672 divisors, whose sum is σ = 291146788800. Its totient is φ = 15144321024.

The previous prime is 72487746229. The next prime is 72487746259. The reversal of 72487746240 is 4264778427.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69101236 + ... + 69102284.

It is an arithmetic number, because the mean of its divisors is an integer number (433254150).

Almost surely, 2^72487746240 is an apocalyptic number.

72487746240 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 72487746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145573394400).

72487746240 is an abundant number, since it is smaller than the sum of its proper divisors (218659042560).

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

72487746240 is a wasteful number, since it uses less digits than its factorization.

72487746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 51.

The spelling of 72487746240 in words is "seventy-two billion, four hundred eighty-seven million, seven hundred forty-six thousand, two hundred forty".