72403316352000 has 528 divisors, whose sum is σ = 262788265958400. Its totient is φ = 19168605388800.

The previous prime is 72403316351999. The next prime is 72403316352001. The reversal of 72403316352000 is 25361330427.

72403316352000 is a `hidden beast` number, since 7 + 2 + 40 + 3 + 31 + 63 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72403316351999) and next prime (72403316352001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72403316352001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159901921 + ... + 160354079.

Almost surely, 2^{72403316352000} 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 72403316352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131394132979200).

72403316352000 is an abundant number, since it is smaller than the sum of its proper divisors (190384949606400).

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

72403316352000 is a wasteful number, since it uses less digits than its factorization.

72403316352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452339 (or 452308 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 72403316352000 its reverse (25361330427), we get a palindrome (72428677682427).

The spelling of 72403316352000 in words is "seventy-two trillion, four hundred three billion, three hundred sixteen million, three hundred fifty-two thousand".