72745047 has 20 divisors (see below), whose sum is σ = 109238800. Its totient is φ = 48242304.

The previous prime is 72745039. The next prime is 72745061. The reversal of 72745047 is 74054727.

It is a happy number.

It is not a de Polignac number, because 72745047 - 2³ = 72745039 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72745007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13863 + ... + 18375.

It is an arithmetic number, because the mean of its divisors is an integer number (5461940).

Almost surely, 2^72745047 is an apocalyptic number.

72745047 is a deficient number, since it is larger than the sum of its proper divisors (36493753).

72745047 is a wasteful number, since it uses less digits than its factorization.

72745047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4724 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 72745047 is about 8529.0706996718. The cubic root of 72745047 is about 417.4468064229.

It can be divided in two parts, 7274 and 5047, that added together give a palindrome (12321).

The spelling of 72745047 in words is "seventy-two million, seven hundred forty-five thousand, forty-seven".