73088272 has 40 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 35368320.

The previous prime is 73088237. The next prime is 73088291. The reversal of 73088272 is 27288037.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 66447 + ... + 67537.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2^73088272 is an apocalyptic number.

It is an amenable number.

73088272 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

73088272 is a wasteful number, since it uses less digits than its factorization.

73088272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 73088272 is about 8549.1679127269. The cubic root of 73088272 is about 418.1023077796.

The spelling of 73088272 in words is "seventy-three million, eighty-eight thousand, two hundred seventy-two".