72884071 has 8 divisors (see below), whose sum is σ = 78666560. Its totient is φ = 67126752.

The previous prime is 72884041. The next prime is 72884089. The reversal of 72884071 is 17048827.

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 72884071 - 2¹³ = 72875879 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72884071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72884041) 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, 36 + ... + 12073.

It is an arithmetic number, because the mean of its divisors is an integer number (9833320).

Almost surely, 2^72884071 is an apocalyptic number.

72884071 is a deficient number, since it is larger than the sum of its proper divisors (5782489).

72884071 is a wasteful number, since it uses less digits than its factorization.

72884071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12585.

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 72884071 is about 8537.2168181440. The cubic root of 72884071 is about 417.7125665254.

The spelling of 72884071 in words is "seventy-two million, eight hundred eighty-four thousand, seventy-one".