72967680 has 120 divisors (see below), whose sum is σ = 252787392. Its totient is φ = 19451904.

The previous prime is 72967679. The next prime is 72967691. The reversal of 72967680 is 8676927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21457 + ... + 24623.

Almost surely, 2^72967680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126393696).

72967680 is an abundant number, since it is smaller than the sum of its proper divisors (179819712).

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

72967680 is a wasteful number, since it uses less digits than its factorization.

72967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 72967680 is about 8542.1121509847. The cubic root of 72967680 is about 417.8722318837.

The spelling of 72967680 in words is "seventy-two million, nine hundred sixty-seven thousand, six hundred eighty".