72005737 has 8 divisors (see below), whose sum is σ = 74846016. Its totient is φ = 69212592.

The previous prime is 72005729. The next prime is 72005749. The reversal of 72005737 is 73750027.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72005737 - 2³ = 72005729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72005699 and 72005708.

It is not an unprimeable number, because it can be changed into a prime (72005797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8653 + ... + 14794.

It is an arithmetic number, because the mean of its divisors is an integer number (9355752).

Almost surely, 2^72005737 is an apocalyptic number.

It is an amenable number.

72005737 is a deficient number, since it is larger than the sum of its proper divisors (2840279).

72005737 is a wasteful number, since it uses less digits than its factorization.

72005737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23567.

The product of its (nonzero) digits is 10290, while the sum is 31.

The square root of 72005737 is about 8485.6194234717. The cubic root of 72005737 is about 416.0278137992.

The spelling of 72005737 in words is "seventy-two million, five thousand, seven hundred thirty-seven".