1072721433300 has 144 divisors (see below), whose sum is σ = 3397866189312. Its totient is φ = 259134537600.

The previous prime is 1072721433281. The next prime is 1072721433307. The reversal of 1072721433300 is 33341272701.

1072721433300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1072721433300² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072721433307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359577 + ... + 1508223.

Almost surely, 2^{1072721433300} is an apocalyptic number.

1072721433300 is a gapful number since it is divisible by the number (10) 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 1072721433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698933094656).

1072721433300 is an abundant number, since it is smaller than the sum of its proper divisors (2325144756012).

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

1072721433300 is a wasteful number, since it uses less digits than its factorization.

1072721433300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148958 (or 1148951 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The spelling of 1072721433300 in words is "one trillion, seventy-two billion, seven hundred twenty-one million, four hundred thirty-three thousand, three hundred".