72376548596352 has 1280 divisors, whose sum is σ = 289587158784000. Its totient is φ = 17329606041600.

The previous prime is 72376548596299. The next prime is 72376548596383. The reversal of 72376548596352 is 25369584567327.

72376548596352 is a `hidden beast` number, since 7 + 2 + 3 + 7 + 6 + 5 + 485 + 96 + 3 + 52 = 666.

It is a super-2 number, since 2×72376548596352² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8416852149 + ... + 8416860747.

It is an arithmetic number, because the mean of its divisors is an integer number (226239967800).

Almost surely, 2^{72376548596352} is an apocalyptic number.

72376548596352 is a gapful number since it is divisible by the number (72) 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 72376548596352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144793579392000).

72376548596352 is an abundant number, since it is smaller than the sum of its proper divisors (217210610187648).

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

72376548596352 is a wasteful number, since it uses less digits than its factorization.

72376548596352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9467 (or 9446 counting only the distinct ones).

The product of its digits is 2286144000, while the sum is 72.

The spelling of 72376548596352 in words is "seventy-two trillion, three hundred seventy-six billion, five hundred forty-eight million, five hundred ninety-six thousand, three hundred fifty-two".