746505142272 has 432 divisors, whose sum is σ = 2269140396705. Its totient is φ = 236479315968.

The previous prime is 746505142223. The next prime is 746505142283. The reversal of 746505142272 is 272241505647.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

746505142272 is a `hidden beast` number, since 7 + 4 + 65 + 0 + 514 + 2 + 2 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 602275332096 + 144229810176 = 776064^2 + 379776^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=610944.

It is a super-2 number, since 2×746505142272² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17360584683 + ... + 17360584725.

Almost surely, 2^746505142272 is an apocalyptic number.

746505142272 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 746505142272

746505142272 is an abundant number, since it is smaller than the sum of its proper divisors (1522635254433).

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

746505142272 is an frugal number, since it uses more digits than its factorization.

746505142272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 746505142272 in words is "seven hundred forty-six billion, five hundred five million, one hundred forty-two thousand, two hundred seventy-two".