72365160 has 192 divisors, whose sum is σ = 261342720. Its totient is φ = 15966720.

The previous prime is 72365143. The next prime is 72365177. The reversal of 72365160 is 6156327.

It is an interprime number because it is at equal distance from previous prime (72365143) and next prime (72365177).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182082 + ... + 182478.

It is an arithmetic number, because the mean of its divisors is an integer number (1361160).

Almost surely, 2^72365160 is an apocalyptic number.

72365160 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 72365160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130671360).

72365160 is an abundant number, since it is smaller than the sum of its proper divisors (188977560).

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

72365160 is a wasteful number, since it uses less digits than its factorization.

72365160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 72365160 is about 8506.7714204626. The cubic root of 72365160 is about 416.7188784349.

The spelling of 72365160 in words is "seventy-two million, three hundred sixty-five thousand, one hundred sixty".