72175616 has 52 divisors (see below), whose sum is σ = 147044832. Its totient is φ = 35414016.

The previous prime is 72175613. The next prime is 72175619. The reversal of 72175616 is 61657127.

It is an interprime number because it is at equal distance from previous prime (72175613) and next prime (72175619).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72175613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 274301 + ... + 274563.

Almost surely, 2^72175616 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 72175616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73522416).

72175616 is an abundant number, since it is smaller than the sum of its proper divisors (74869216).

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

72175616 is an equidigital number, since it uses as much as digits as its factorization.

72175616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 332 counting only the distinct ones).

The product of its digits is 17640, while the sum is 35.

The square root of 72175616 is about 8495.6233438165. The cubic root of 72175616 is about 416.3547270208.

The spelling of 72175616 in words is "seventy-two million, one hundred seventy-five thousand, six hundred sixteen".