72829947960 has 1536 divisors, whose sum is σ = 327679672320. Its totient is φ = 14108774400.

The previous prime is 72829947959. The next prime is 72829947961. The reversal of 72829947960 is 6974992827.

72829947960 is a `hidden beast` number, since 72 + 8 + 2 + 99 + 479 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72829947959) and next prime (72829947961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72829947961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 997670484 + ... + 997670556.

It is an arithmetic number, because the mean of its divisors is an integer number (213333120).

Almost surely, 2^72829947960 is an apocalyptic number.

72829947960 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 72829947960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163839836160).

72829947960 is an abundant number, since it is smaller than the sum of its proper divisors (254849724360).

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

72829947960 is a wasteful number, since it uses less digits than its factorization.

72829947960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 72829947960 in words is "seventy-two billion, eight hundred twenty-nine million, nine hundred forty-seven thousand, nine hundred sixty".