72423773120600 has 384 divisors, whose sum is σ = 187377379937280. Its totient is φ = 25813509120000.

The previous prime is 72423773120557. The next prime is 72423773120603. The reversal of 72423773120600 is 602137732427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72423773120603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35729536787 + ... + 35729538813.

It is an arithmetic number, because the mean of its divisors is an integer number (487961926920).

Almost surely, 2^{72423773120600} 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 72423773120600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93688689968640).

72423773120600 is an abundant number, since it is smaller than the sum of its proper divisors (114953606816680).

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

72423773120600 is a wasteful number, since it uses less digits than its factorization.

72423773120600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 44.

It can be divided in two parts, 724237 and 73120600, that added together give a palindrome (73844837).

The spelling of 72423773120600 in words is "seventy-two trillion, four hundred twenty-three billion, seven hundred seventy-three million, one hundred twenty thousand, six hundred".