729545943672 has 640 divisors, whose sum is σ = 2562242760000. Its totient is φ = 191182602240.

The previous prime is 729545943653. The next prime is 729545943683. The reversal of 729545943672 is 276349545927.

729545943672 is a `hidden beast` number, since 7 + 2 + 9 + 5 + 4 + 594 + 36 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1624823704 + ... + 1624824152.

Almost surely, 2^729545943672 is an apocalyptic number.

729545943672 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 729545943672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281121380000).

729545943672 is an abundant number, since it is smaller than the sum of its proper divisors (1832696816328).

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

729545943672 is a wasteful number, since it uses less digits than its factorization.

729545943672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 715 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 729545943672 in words is "seven hundred twenty-nine billion, five hundred forty-five million, nine hundred forty-three thousand, six hundred seventy-two".