72215001040 has 320 divisors, whose sum is σ = 209746575360. Its totient is φ = 22515148800.

The previous prime is 72215001031. The next prime is 72215001083. The reversal of 72215001040 is 4010051227.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 196770937 + ... + 196771303.

It is an arithmetic number, because the mean of its divisors is an integer number (655458048).

Almost surely, 2^72215001040 is an apocalyptic number.

72215001040 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 72215001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104873287680).

72215001040 is an abundant number, since it is smaller than the sum of its proper divisors (137531574320).

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

72215001040 is a wasteful number, since it uses less digits than its factorization.

72215001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

Adding to 72215001040 its reverse (4010051227), we get a palindrome (76225052267).

The spelling of 72215001040 in words is "seventy-two billion, two hundred fifteen million, one thousand, forty".