72663644 has 48 divisors (see below), whose sum is σ = 140343840. Its totient is φ = 32778240.

The previous prime is 72663637. The next prime is 72663649. The reversal of 72663644 is 44636627.

It is a junction number, because it is equal to n+sod(n) for n = 72663598 and 72663607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72663649) 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, 186602 + ... + 186990.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 2^72663644 is an apocalyptic number.

It is an amenable number.

72663644 is a deficient number, since it is larger than the sum of its proper divisors (67680196).

72663644 is a wasteful number, since it uses less digits than its factorization.

72663644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 516 counting only the distinct ones).

The product of its digits is 145152, while the sum is 38.

The square root of 72663644 is about 8524.2972730894. The cubic root of 72663644 is about 417.2910381750.

The spelling of 72663644 in words is "seventy-two million, six hundred sixty-three thousand, six hundred forty-four".