72162340800 has 672 divisors, whose sum is σ = 266710143744. Its totient is φ = 16932864000.

The previous prime is 72162340799. The next prime is 72162340807. The reversal of 72162340800 is 804326127.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72162340807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299428680 + ... + 299428920.

Almost surely, 2^72162340800 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 72162340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133355071872).

72162340800 is an abundant number, since it is smaller than the sum of its proper divisors (194547802944).

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

72162340800 is a wasteful number, since it uses less digits than its factorization.

72162340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 72162340800 its reverse (804326127), we get a palindrome (72966666927).

The spelling of 72162340800 in words is "seventy-two billion, one hundred sixty-two million, three hundred forty thousand, eight hundred".