72040200960 has 1152 divisors, whose sum is σ = 305986996224. Its totient is φ = 14014218240.

The previous prime is 72040200959. The next prime is 72040200997. The reversal of 72040200960 is 6900204027.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 398012070 + ... + 398012250.

It is an arithmetic number, because the mean of its divisors is an integer number (265613712).

Almost surely, 2^72040200960 is an apocalyptic number.

72040200960 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 72040200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152993498112).

72040200960 is an abundant number, since it is smaller than the sum of its proper divisors (233946795264).

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

72040200960 is a wasteful number, since it uses less digits than its factorization.

72040200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 72040200960 its reverse (6900204027), we get a palindrome (78940404987).

The spelling of 72040200960 in words is "seventy-two billion, forty million, two hundred thousand, nine hundred sixty".