72906288 has 80 divisors (see below), whose sum is σ = 231818496. Its totient is φ = 19226880.

The previous prime is 72906277. The next prime is 72906289. The reversal of 72906288 is 88260927.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (72906289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3978 + ... + 12713.

Almost surely, 2^72906288 is an apocalyptic number.

72906288 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

72906288 is an abundant number, since it is smaller than the sum of its proper divisors (158912208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72906288 is a wasteful number, since it uses less digits than its factorization.

72906288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16722 (or 16716 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 72906288 is about 8538.5179041799. The cubic root of 72906288 is about 417.7550055072.

The spelling of 72906288 in words is "seventy-two million, nine hundred six thousand, two hundred eighty-eight".