19773000072 has 160 divisors (see below), whose sum is σ = 65336747520. Its totient is φ = 5467150080.

The previous prime is 19773000053. The next prime is 19773000077. The reversal of 19773000072 is 27000037791.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19773000077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70308 + ... + 210924.

It is an arithmetic number, because the mean of its divisors is an integer number (408354672).

Almost surely, 2^19773000072 is an apocalyptic number.

19773000072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 140616×140617.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19773000072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32668373760).

19773000072 is an abundant number, since it is smaller than the sum of its proper divisors (45563747448).

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

19773000072 is a wasteful number, since it uses less digits than its factorization.

19773000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140673 (or 140660 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The spelling of 19773000072 in words is "nineteen billion, seven hundred seventy-three million, seventy-two", and thus it is an aban number.