72961279776 has 288 divisors, whose sum is σ = 259021421568. Its totient is φ = 18926046720.

The previous prime is 72961279757. The next prime is 72961279777. The reversal of 72961279776 is 67797216927.

72961279776 is a `hidden beast` number, since 7 + 2 + 9 + 612 + 7 + 9 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×72961279776² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (72961279777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21797335 + ... + 21800681.

It is an arithmetic number, because the mean of its divisors is an integer number (899379936).

Almost surely, 2^72961279776 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 72961279776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129510710784).

72961279776 is an abundant number, since it is smaller than the sum of its proper divisors (186060141792).

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

72961279776 is a wasteful number, since it uses less digits than its factorization.

72961279776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4353 counting only the distinct ones).

The product of its digits is 28005264, while the sum is 63.

The spelling of 72961279776 in words is "seventy-two billion, nine hundred sixty-one million, two hundred seventy-nine thousand, seven hundred seventy-six".