72914920 has 32 divisors (see below), whose sum is σ = 176679720. Its totient is φ = 26922240.

The previous prime is 72914879. The next prime is 72914923. The reversal of 72914920 is 2941927.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36409156 + 36505764 = 6034^2 + 6042^2 .

It is not an unprimeable number, because it can be changed into a prime (72914923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69591 + ... + 70630.

Almost surely, 2^72914920 is an apocalyptic number.

It is an amenable number.

72914920 is an abundant number, since it is smaller than the sum of its proper divisors (103764800).

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

72914920 is a wasteful number, since it uses less digits than its factorization.

72914920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140245 (or 140241 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 72914920 is about 8539.0233633595. The cubic root of 72914920 is about 417.7714920545.

The spelling of 72914920 in words is "seventy-two million, nine hundred fourteen thousand, nine hundred twenty".