72484106240 has 832 divisors, whose sum is σ = 237788006400. Its totient is φ = 20554186752.

The previous prime is 72484106197. The next prime is 72484106251. The reversal of 72484106240 is 4260148427.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 72484106194 and 72484106203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 814428116 + ... + 814428204.

Almost surely, 2^72484106240 is an apocalyptic number.

72484106240 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 72484106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118894003200).

72484106240 is an abundant number, since it is smaller than the sum of its proper divisors (165303900160).

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

72484106240 is a wasteful number, since it uses less digits than its factorization.

72484106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The spelling of 72484106240 in words is "seventy-two billion, four hundred eighty-four million, one hundred six thousand, two hundred forty".