10072572696550 has 48 divisors (see below), whose sum is σ = 23058443352672. Its totient is φ = 3187803225600.

The previous prime is 10072572696503. The next prime is 10072572696553. The reversal of 10072572696550 is 5569627527001.

It is a junction number, because it is equal to n+sod(n) for n = 10072572696491 and 10072572696500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072572696553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1106871571 + ... + 1106880670.

It is an arithmetic number, because the mean of its divisors is an integer number (480384236514).

Almost surely, 2^{10072572696550} is an apocalyptic number.

10072572696550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10072572696550 is an abundant number, since it is smaller than the sum of its proper divisors (12985870656122).

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

10072572696550 is a wasteful number, since it uses less digits than its factorization.

10072572696550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213752273 (or 2213752268 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 55.

The spelling of 10072572696550 in words is "ten trillion, seventy-two billion, five hundred seventy-two million, six hundred ninety-six thousand, five hundred fifty".