72368093952 has 576 divisors, whose sum is σ = 268434432000. Its totient is φ = 18682859520.

The previous prime is 72368093929. The next prime is 72368093957. The reversal of 72368093952 is 25939086327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72368093957) by changing a digit.

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, 120814549 + ... + 120815147.

It is an arithmetic number, because the mean of its divisors is an integer number (466032000).

Almost surely, 2^72368093952 is an apocalyptic number.

72368093952 is a gapful number since it is divisible by the number (72) 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 72368093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134217216000).

72368093952 is an abundant number, since it is smaller than the sum of its proper divisors (196066338048).

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

72368093952 is a wasteful number, since it uses less digits than its factorization.

72368093952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 72368093952 in words is "seventy-two billion, three hundred sixty-eight million, ninety-three thousand, nine hundred fifty-two".