72179600 has 60 divisors (see below), whose sum is σ = 178134804. Its totient is φ = 28085760.

The previous prime is 72179593. The next prime is 72179617. The reversal of 72179600 is 697127.

It can be written as a sum of positive squares in 6 ways, for example, as 65536 + 72114064 = 256^2 + 8492^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12362 + ... + 17238.

Almost surely, 2^72179600 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 72179600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89067402).

72179600 is an abundant number, since it is smaller than the sum of its proper divisors (105955204).

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

72179600 is a wasteful number, since it uses less digits than its factorization.

72179600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 72179600 is about 8495.8578142528. The cubic root of 72179600 is about 416.3623876261.

The spelling of 72179600 in words is "seventy-two million, one hundred seventy-nine thousand, six hundred".