72321376400 has 240 divisors, whose sum is σ = 216063921024. Its totient is φ = 22651453440.

The previous prime is 72321376381. The next prime is 72321376403. The reversal of 72321376400 is 467312327.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (72321376403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3520559 + ... + 3541041.

Almost surely, 2^72321376400 is an apocalyptic number.

72321376400 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 72321376400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108031960512).

72321376400 is an abundant number, since it is smaller than the sum of its proper divisors (143742544624).

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

72321376400 is a wasteful number, since it uses less digits than its factorization.

72321376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20618 (or 20607 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

Adding to 72321376400 its reverse (467312327), we get a palindrome (72788688727).

The spelling of 72321376400 in words is "seventy-two billion, three hundred twenty-one million, three hundred seventy-six thousand, four hundred".