72288873 has 12 divisors (see below), whose sum is σ = 106388100. Its totient is φ = 47282976.

The previous prime is 72288857. The next prime is 72288877. The reversal of 72288873 is 37888227.

It can be written as a sum of positive squares in 2 ways, for example, as 57335184 + 14953689 = 7572^2 + 3867^2 .

It is not a de Polignac number, because 72288873 - 2⁴ = 72288857 is a prime.

It is a super-2 number, since 2×72288873² = 10451362319220258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72288877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75298 + ... + 76251.

It is an arithmetic number, because the mean of its divisors is an integer number (8865675).

Almost surely, 2^72288873 is an apocalyptic number.

It is an amenable number.

72288873 is a deficient number, since it is larger than the sum of its proper divisors (34099227).

72288873 is a wasteful number, since it uses less digits than its factorization.

72288873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151608 (or 151605 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 72288873 is about 8502.2863395677. The cubic root of 72288873 is about 416.5723926092.

The spelling of 72288873 in words is "seventy-two million, two hundred eighty-eight thousand, eight hundred seventy-three".