72340871460 has 384 divisors, whose sum is σ = 254611413504. Its totient is φ = 15075901440.

The previous prime is 72340871429. The next prime is 72340871479. The reversal of 72340871460 is 6417804327.

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 127 ways as a sum of consecutive naturals, for example, 14145864 + ... + 14150976.

It is an arithmetic number, because the mean of its divisors is an integer number (663050556).

Almost surely, 2^72340871460 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 72340871460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127305706752).

72340871460 is an abundant number, since it is smaller than the sum of its proper divisors (182270542044).

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

72340871460 is a wasteful number, since it uses less digits than its factorization.

72340871460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 72340871460 in words is "seventy-two billion, three hundred forty million, eight hundred seventy-one thousand, four hundred sixty".