1772040100032 has 140 divisors (see below), whose sum is σ = 5422330284096. Its totient is φ = 571625786880.

The previous prime is 1772040099989. The next prime is 1772040100109. The reversal of 1772040100032 is 2300010402771.

It is a happy number.

It is a super-2 number, since 2×1772040100032² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1772040099969 and 1772040100005.

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 19 ways as a sum of consecutive naturals, for example, 5352663 + ... + 5674070.

Almost surely, 2^{1772040100032} is an apocalyptic number.

1772040100032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1772040100032 is an abundant number, since it is smaller than the sum of its proper divisors (3650290184064).

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

1772040100032 is a wasteful number, since it uses less digits than its factorization.

1772040100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11026788 (or 11026769 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 1772040100032 in words is "one trillion, seven hundred seventy-two billion, forty million, one hundred thousand, thirty-two".