72366160 has 20 divisors (see below), whose sum is σ = 168251508. Its totient is φ = 28946432.

The previous prime is 72366157. The next prime is 72366163. The reversal of 72366160 is 6166327.

It is an interprime number because it is at equal distance from previous prime (72366157) and next prime (72366163).

It can be written as a sum of positive squares in 2 ways, for example, as 34715664 + 37650496 = 5892^2 + 6136^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×72366160² = 10473722226291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72366163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 452209 + ... + 452368.

Almost surely, 2^72366160 is an apocalyptic number.

It is an amenable number.

72366160 is an abundant number, since it is smaller than the sum of its proper divisors (95885348).

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

72366160 is a wasteful number, since it uses less digits than its factorization.

72366160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904590 (or 904584 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 72366160 is about 8506.8301969653. The cubic root of 72366160 is about 416.7207979450.

The spelling of 72366160 in words is "seventy-two million, three hundred sixty-six thousand, one hundred sixty".