72273062400 has 480 divisors, whose sum is σ = 297673947648. Its totient is φ = 15017164800.

The previous prime is 72273062383. The next prime is 72273062473. The reversal of 72273062400 is 426037227.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2944579 + ... + 2969021.

Almost surely, 2^72273062400 is an apocalyptic number.

72273062400 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 72273062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148836973824).

72273062400 is an abundant number, since it is smaller than the sum of its proper divisors (225400885248).

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

72273062400 is a wasteful number, since it uses less digits than its factorization.

72273062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24492 (or 24471 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

Adding to 72273062400 its reverse (426037227), we get a palindrome (72699099627).

The spelling of 72273062400 in words is "seventy-two billion, two hundred seventy-three million, sixty-two thousand, four hundred".