72103821240 has 256 divisors, whose sum is σ = 249661440000. Its totient is φ = 16475374080.

The previous prime is 72103821203. The next prime is 72103821241. The reversal of 72103821240 is 4212830127.

It is a super-2 number, since 2×72103821240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72103821198 and 72103821207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72103821241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4983697 + ... + 4998143.

It is an arithmetic number, because the mean of its divisors is an integer number (975240000).

Almost surely, 2^72103821240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72103821240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124830720000).

72103821240 is an abundant number, since it is smaller than the sum of its proper divisors (177557618760).

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

72103821240 is a wasteful number, since it uses less digits than its factorization.

72103821240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14690 (or 14686 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 72103821240 in words is "seventy-two billion, one hundred three million, eight hundred twenty-one thousand, two hundred forty".