72471161400 has 192 divisors, whose sum is σ = 252990950400. Its totient is φ = 17001984000.

The previous prime is 72471161387. The next prime is 72471161401. The reversal of 72471161400 is 416117427.

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 (72471161401) 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 47 ways as a sum of consecutive naturals, for example, 27496 + ... + 381704.

It is an arithmetic number, because the mean of its divisors is an integer number (1317661200).

Almost surely, 2^72471161400 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 72471161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126495475200).

72471161400 is an abundant number, since it is smaller than the sum of its proper divisors (180519789000).

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

72471161400 is a wasteful number, since it uses less digits than its factorization.

72471161400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354270 (or 354261 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

Adding to 72471161400 its reverse (416117427), we get a palindrome (72887278827).

The spelling of 72471161400 in words is "seventy-two billion, four hundred seventy-one million, one hundred sixty-one thousand, four hundred".