72681945 has 24 divisors (see below), whose sum is σ = 135278784. Its totient is φ = 33225696.

The previous prime is 72681937. The next prime is 72681977. The reversal of 72681945 is 54918627.

It is not a de Polignac number, because 72681945 - 2³ = 72681937 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72681897 and 72681906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48709 + ... + 50178.

It is an arithmetic number, because the mean of its divisors is an integer number (5636616).

Almost surely, 2^72681945 is an apocalyptic number.

It is an amenable number.

72681945 is a deficient number, since it is larger than the sum of its proper divisors (62596839).

72681945 is a wasteful number, since it uses less digits than its factorization.

72681945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98909 (or 98902 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 72681945 is about 8525.3706664285. The cubic root of 72681945 is about 417.3260680827.

The spelling of 72681945 in words is "seventy-two million, six hundred eighty-one thousand, nine hundred forty-five".