72887919 has 16 divisors (see below), whose sum is σ = 104852832. Its totient is φ = 44771328.

The previous prime is 72887917. The next prime is 72887921. The reversal of 72887919 is 91978827.

It is an interprime number because it is at equal distance from previous prime (72887917) and next prime (72887921).

It is not a de Polignac number, because 72887919 - 2¹ = 72887917 is a prime.

It is a super-2 number, since 2×72887919² = 10625297472301122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72887917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24859 + ... + 27635.

It is an arithmetic number, because the mean of its divisors is an integer number (6553302).

Almost surely, 2^72887919 is an apocalyptic number.

72887919 is a deficient number, since it is larger than the sum of its proper divisors (31964913).

72887919 is a wasteful number, since it uses less digits than its factorization.

72887919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466.

The product of its digits is 508032, while the sum is 51.

The square root of 72887919 is about 8537.4421813562. The cubic root of 72887919 is about 417.7199176043.

The spelling of 72887919 in words is "seventy-two million, eight hundred eighty-seven thousand, nine hundred nineteen".