72440729760 has 288 divisors, whose sum is σ = 266425770240. Its totient is φ = 16496621568.

The previous prime is 72440729743. The next prime is 72440729773. The reversal of 72440729760 is 6792704427.

It is a super-2 number, since 2×72440729760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 6509481 + ... + 6520599.

It is an arithmetic number, because the mean of its divisors is an integer number (925089480).

Almost surely, 2^72440729760 is an apocalyptic number.

72440729760 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 72440729760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133212885120).

72440729760 is an abundant number, since it is smaller than the sum of its proper divisors (193985040480).

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

72440729760 is a wasteful number, since it uses less digits than its factorization.

72440729760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11428 (or 11413 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 72440729760 in words is "seventy-two billion, four hundred forty million, seven hundred twenty-nine thousand, seven hundred sixty".