72418164 has 192 divisors, whose sum is σ = 227598336. Its totient is φ = 17381376.

The previous prime is 72418141. The next prime is 72418187. The reversal of 72418164 is 46181427.

It is an interprime number because it is at equal distance from previous prime (72418141) and next prime (72418187).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 872467 + ... + 872549.

It is an arithmetic number, because the mean of its divisors is an integer number (1185408).

Almost surely, 2^72418164 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 72418164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113799168).

72418164 is an abundant number, since it is smaller than the sum of its proper divisors (155180172).

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

72418164 is a wasteful number, since it uses less digits than its factorization.

72418164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 72418164 is about 8509.8862507086. The cubic root of 72418164 is about 416.8205957848.

The spelling of 72418164 in words is "seventy-two million, four hundred eighteen thousand, one hundred sixty-four".