77072836433472 has 896 divisors, whose sum is σ = 256668715008000. Its totient is φ = 22468136140800.

The previous prime is 77072836433393. The next prime is 77072836433473. The reversal of 77072836433472 is 27433463827077.

77072836433472 is a `hidden beast` number, since 7 + 7 + 0 + 7 + 283 + 6 + 4 + 3 + 347 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (77072836433473) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138371339818 + ... + 138371340374.

Almost surely, 2^{77072836433472} is an apocalyptic number.

77072836433472 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 77072836433472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128334357504000).

77072836433472 is an abundant number, since it is smaller than the sum of its proper divisors (179595878574528).

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

77072836433472 is a wasteful number, since it uses less digits than its factorization.

77072836433472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 199148544, while the sum is 63.

The spelling of 77072836433472 in words is "seventy-seven trillion, seventy-two billion, eight hundred thirty-six million, four hundred thirty-three thousand, four hundred seventy-two".