76421011272 has 384 divisors, whose sum is σ = 221211648000. Its totient is φ = 21929149440.

The previous prime is 76421011237. The next prime is 76421011279. The reversal of 76421011272 is 27211012467.

It is not an unprimeable number, because it can be changed into a prime (76421011279) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 549791379 + ... + 549791517.

It is an arithmetic number, because the mean of its divisors is an integer number (576072000).

Almost surely, 2^76421011272 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 76421011272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605824000).

76421011272 is an abundant number, since it is smaller than the sum of its proper divisors (144790636728).

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

76421011272 is a wasteful number, since it uses less digits than its factorization.

76421011272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 76421011272 in words is "seventy-six billion, four hundred twenty-one million, eleven thousand, two hundred seventy-two".