72199680 has 320 divisors, whose sum is σ = 282839040. Its totient is φ = 15335424.

The previous prime is 72199667. The next prime is 72199681. The reversal of 72199680 is 8699127.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72199681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913881 + ... + 913959.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 2^72199680 is an apocalyptic number.

72199680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

72199680 is an abundant number, since it is smaller than the sum of its proper divisors (210639360).

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

72199680 is a wasteful number, since it uses less digits than its factorization.

72199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 72199680 is about 8497.0394844322. The cubic root of 72199680 is about 416.4009940171.

The spelling of 72199680 in words is "seventy-two million, one hundred ninety-nine thousand, six hundred eighty".