72273664 has 36 divisors (see below), whose sum is σ = 152760384. Its totient is φ = 34009088.

The previous prime is 72273629. The next prime is 72273671. The reversal of 72273664 is 46637227.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3952 + ... + 12655.

It is an arithmetic number, because the mean of its divisors is an integer number (4243344).

Almost surely, 2^72273664 is an apocalyptic number.

It is an amenable number.

72273664 is an abundant number, since it is smaller than the sum of its proper divisors (80486720).

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

72273664 is a wasteful number, since it uses less digits than its factorization.

72273664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16640 (or 16626 counting only the distinct ones).

The product of its digits is 84672, while the sum is 37.

The square root of 72273664 is about 8501.3918860384. The cubic root of 72273664 is about 416.5431760616.

The spelling of 72273664 in words is "seventy-two million, two hundred seventy-three thousand, six hundred sixty-four".