72351509368320 has 4800 divisors, whose sum is σ = 345931378974720. Its totient is φ = 14284851904512.

The previous prime is 72351509368249. The next prime is 72351509368337. The reversal of 72351509368320 is 2386390515327.

72351509368320 is a `hidden beast` number, since 7 + 2 + 3 + 5 + 1 + 509 + 36 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 318729116047 + ... + 318729116273.

Almost surely, 2^{72351509368320} is an apocalyptic number.

72351509368320 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 72351509368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172965689487360).

72351509368320 is an abundant number, since it is smaller than the sum of its proper divisors (273579869606400).

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

72351509368320 is a wasteful number, since it uses less digits than its factorization.

72351509368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 72351509368320 in words is "seventy-two trillion, three hundred fifty-one billion, five hundred nine million, three hundred sixty-eight thousand, three hundred twenty".