72714377447712 has 3024 divisors, whose sum is σ = 310636643677920. Its totient is φ = 16507266048000.

The previous prime is 72714377447671. The next prime is 72714377447713. The reversal of 72714377447712 is 21774477341727.

72714377447712 is a `hidden beast` number, since 7 + 2 + 7 + 143 + 7 + 7 + 4 + 477 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×72714377447712² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 72714377447712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72714377447713) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 40374445212 + ... + 40374447012.

It is an arithmetic number, because the mean of its divisors is an integer number (102723757830).

Almost surely, 2^{72714377447712} is an apocalyptic number.

72714377447712 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 72714377447712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155318321838960).

72714377447712 is an abundant number, since it is smaller than the sum of its proper divisors (237922266230208).

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

72714377447712 is a wasteful number, since it uses less digits than its factorization.

72714377447712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1856 counting only the distinct ones).

The product of its digits is 90354432, while the sum is 63.

The spelling of 72714377447712 in words is "seventy-two trillion, seven hundred fourteen billion, three hundred seventy-seven million, four hundred forty-seven thousand, seven hundred twelve".