743072164992 has 384 divisors, whose sum is σ = 2256666572160. Its totient is φ = 243351724032.

The previous prime is 743072164973. The next prime is 743072165029. The reversal of 743072164992 is 299461270347.

743072164992 is a `hidden beast` number, since 7 + 430 + 72 + 16 + 49 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×743072164992³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438907698 + ... + 438909390.

It is an arithmetic number, because the mean of its divisors is an integer number (5876735865).

Almost surely, 2^743072164992 is an apocalyptic number.

743072164992 is a gapful number since it is divisible by the number (72) 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 743072164992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128333286080).

743072164992 is an abundant number, since it is smaller than the sum of its proper divisors (1513594407168).

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

743072164992 is a wasteful number, since it uses less digits than its factorization.

743072164992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 743072164992 in words is "seven hundred forty-three billion, seventy-two million, one hundred sixty-four thousand, nine hundred ninety-two".