77288207632272 has 120 divisors (see below), whose sum is σ = 266214937445184. Its totient is φ = 20383703108352.

The previous prime is 77288207632267. The next prime is 77288207632369. The reversal of 77288207632272 is 27223670288277.

77288207632272 is a `hidden beast` number, since 7 + 7 + 288 + 20 + 7 + 6 + 322 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2949018018 + ... + 2949044225.

Almost surely, 2^{77288207632272} is an apocalyptic number.

77288207632272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77288207632272 is an abundant number, since it is smaller than the sum of its proper divisors (188926729812912).

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

77288207632272 is a wasteful number, since it uses less digits than its factorization.

77288207632272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898062277 (or 5898062268 counting only the distinct ones).

The product of its (nonzero) digits is 88510464, while the sum is 63.

The spelling of 77288207632272 in words is "seventy-seven trillion, two hundred eighty-eight billion, two hundred seven million, six hundred thirty-two thousand, two hundred seventy-two".