72270477461700 has 162 divisors, whose sum is σ = 263511926791386. Its totient is φ = 16518966266880.

The previous prime is 72270477461629. The next prime is 72270477461713. The reversal of 72270477461700 is 716477407227.

72270477461700 is a `hidden beast` number, since 7 + 2 + 2 + 70 + 47 + 7 + 461 + 70 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8679198818304 + 63591278643396 = 2946048^2 + 7974414^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 819349069 + ... + 819437268.

Almost surely, 2^{72270477461700} is an apocalyptic number.

72270477461700 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72270477461700 is an abundant number, since it is smaller than the sum of its proper divisors (191241449329686).

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

72270477461700 is a wasteful number, since it uses less digits than its factorization.

72270477461700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638786371 (or 1638786354 counting only the distinct ones).

The product of its (nonzero) digits is 6453888, while the sum is 54.

The spelling of 72270477461700 in words is "seventy-two trillion, two hundred seventy billion, four hundred seventy-seven million, four hundred sixty-one thousand, seven hundred".