73248672 has 48 divisors (see below), whose sum is σ = 219748032. Its totient is φ = 20928000.

The previous prime is 73248671. The next prime is 73248683. The reversal of 73248672 is 27684237.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 73248672.

It is not an unprimeable number, because it can be changed into a prime (73248671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53829 + ... + 55172.

It is an arithmetic number, because the mean of its divisors is an integer number (4578084).

Almost surely, 2^73248672 is an apocalyptic number.

It is an amenable number.

73248672 is an abundant number, since it is smaller than the sum of its proper divisors (146499360).

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

73248672 is a wasteful number, since it uses less digits than its factorization.

73248672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109021 (or 109013 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 73248672 is about 8558.5438013718. The cubic root of 73248672 is about 418.4079409939.

It can be divided in two parts, 73248 and 672, that added together give a triangular number (73920 = T₃₈₄).

The spelling of 73248672 in words is "seventy-three million, two hundred forty-eight thousand, six hundred seventy-two".