72705843 has 24 divisors (see below), whose sum is σ = 124470528. Its totient is φ = 41545224.

The previous prime is 72705817. The next prime is 72705847. The reversal of 72705843 is 34850727.

72705843 is a `hidden beast` number, since 7 + 2 + 70 + 584 + 3 = 666.

It is not a de Polignac number, because 72705843 - 2⁵ = 72705811 is a prime.

It is a super-2 number, since 2×72705843² = 10572279212681298, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72705798 and 72705807.

It is not an unprimeable number, because it can be changed into a prime (72705847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19671 + ... + 23072.

It is an arithmetic number, because the mean of its divisors is an integer number (5186272).

Almost surely, 2^72705843 is an apocalyptic number.

72705843 is a deficient number, since it is larger than the sum of its proper divisors (51764685).

72705843 is an equidigital number, since it uses as much as digits as its factorization.

72705843 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42765 (or 42753 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 72705843 is about 8526.7721325247. The cubic root of 72705843 is about 417.3718023454.

The spelling of 72705843 in words is "seventy-two million, seven hundred five thousand, eight hundred forty-three".