73451250272400 has 960 divisors, whose sum is σ = 322359734323200. Its totient is φ = 14088540211200.

The previous prime is 73451250272297. The next prime is 73451250272429. The reversal of 73451250272400 is 427205215437.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58234839 + ... + 59482761.

It is an arithmetic number, because the mean of its divisors is an integer number (335791389920).

Almost surely, 2^{73451250272400} is an apocalyptic number.

73451250272400 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 73451250272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161179867161600).

73451250272400 is an abundant number, since it is smaller than the sum of its proper divisors (248908484050800).

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

73451250272400 is a wasteful number, since it uses less digits than its factorization.

73451250272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247989 (or 1247964 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

Adding to 73451250272400 its reverse (427205215437), we get a palindrome (73878455487837).

The spelling of 73451250272400 in words is "seventy-three trillion, four hundred fifty-one billion, two hundred fifty million, two hundred seventy-two thousand, four hundred".