72021829772736 has 168 divisors, whose sum is σ = 214780761395200. Its totient is φ = 23929075406592.

The previous prime is 72021829772731. The next prime is 72021829772839. The reversal of 72021829772736 is 63727792812027.

72021829772736 is a `hidden beast` number, since 7 + 202 + 1 + 8 + 297 + 72 + 73 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72021829772731) 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 23 ways as a sum of consecutive naturals, for example, 2767936 + ... + 12316863.

Almost surely, 2^{72021829772736} is an apocalyptic number.

It is an amenable number.

72021829772736 is an abundant number, since it is smaller than the sum of its proper divisors (142758931622464).

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

72021829772736 is a wasteful number, since it uses less digits than its factorization.

72021829772736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15085133 (or 15085111 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 72021829772736 in words is "seventy-two trillion, twenty-one billion, eight hundred twenty-nine million, seven hundred seventy-two thousand, seven hundred thirty-six".