73222472400 has 720 divisors, whose sum is σ = 299732732544. Its totient is φ = 14952960000.

The previous prime is 73222472371. The next prime is 73222472413. The reversal of 73222472400 is 427422237.

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

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 61999810 + ... + 62000990.

Almost surely, 2^73222472400 is an apocalyptic number.

73222472400 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 73222472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149866366272).

73222472400 is an abundant number, since it is smaller than the sum of its proper divisors (226510260144).

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

73222472400 is a wasteful number, since it uses less digits than its factorization.

73222472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

Adding to 73222472400 its reverse (427422237), we get a palindrome (73649894637).

The spelling of 73222472400 in words is "seventy-three billion, two hundred twenty-two million, four hundred seventy-two thousand, four hundred".