72679680 has 180 divisors, whose sum is σ = 260432172. Its totient is φ = 19353600.

The previous prime is 72679639. The next prime is 72679699. The reversal of 72679680 is 8697627.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 26873856 = 6768^2 + 5184^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103330 + ... + 104030.

Almost surely, 2^72679680 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 72679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130216086).

72679680 is an abundant number, since it is smaller than the sum of its proper divisors (187752492).

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

72679680 is an equidigital number, since it uses as much as digits as its factorization.

72679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 711 counting only the distinct ones).

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

The square root of 72679680 is about 8525.2378265946. The cubic root of 72679680 is about 417.3217329696.

The spelling of 72679680 in words is "seventy-two million, six hundred seventy-nine thousand, six hundred eighty".