72971345 has 8 divisors (see below), whose sum is σ = 87613440. Its totient is φ = 58345200.

The previous prime is 72971333. The next prime is 72971369. The reversal of 72971345 is 54317927.

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

It is not a de Polignac number, because 72971345 - 2⁴ = 72971329 is a prime.

It is a super-2 number, since 2×72971345² = 10649634382218050, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72971299 and 72971308.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11696 + ... + 16814.

It is an arithmetic number, because the mean of its divisors is an integer number (10951680).

Almost surely, 2^72971345 is an apocalyptic number.

It is an amenable number.

72971345 is a deficient number, since it is larger than the sum of its proper divisors (14642095).

72971345 is a wasteful number, since it uses less digits than its factorization.

72971345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7975.

The product of its digits is 52920, while the sum is 38.

The square root of 72971345 is about 8542.3266736879. The cubic root of 72971345 is about 417.8792280226.

The spelling of 72971345 in words is "seventy-two million, nine hundred seventy-one thousand, three hundred forty-five".