72476379795456 has 1872 divisors, whose sum is σ = 280697842938240. Its totient is φ = 17805064273920.

The previous prime is 72476379795431. The next prime is 72476379795473. The reversal of 72476379795456 is 65459797367427.

72476379795456 is a `hidden beast` number, since 7 + 2 + 4 + 7 + 6 + 3 + 79 + 7 + 95 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

Its product of digits (16803158400) is a multiple of the sum of its prime factors (2800).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27216063181 + ... + 27216065843.

It is an arithmetic number, because the mean of its divisors is an integer number (149945428920).

Almost surely, 2^{72476379795456} is an apocalyptic number.

72476379795456 is a gapful number since it is divisible by the number (76) 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 72476379795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140348921469120).

72476379795456 is an abundant number, since it is smaller than the sum of its proper divisors (208221463142784).

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

72476379795456 is a wasteful number, since it uses less digits than its factorization.

72476379795456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2768 counting only the distinct ones).

The product of its digits is 16803158400, while the sum is 81.

The spelling of 72476379795456 in words is "seventy-two trillion, four hundred seventy-six billion, three hundred seventy-nine million, seven hundred ninety-five thousand, four hundred fifty-six".