73540172160 has 1920 divisors, whose sum is σ = 351015366240. Its totient is φ = 14491975680.

The previous prime is 73540172113. The next prime is 73540172171. The reversal of 73540172160 is 6127104537.

It is a happy number.

73540172160 is a `hidden beast` number, since 7 + 35 + 401 + 7 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 561375295 + ... + 561375425.

Almost surely, 2^73540172160 is an apocalyptic number.

73540172160 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 73540172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175507683120).

73540172160 is an abundant number, since it is smaller than the sum of its proper divisors (277475194080).

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

73540172160 is a wasteful number, since it uses less digits than its factorization.

73540172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 73540172160 its reverse (6127104537), we get a palindrome (79667276697).

The spelling of 73540172160 in words is "seventy-three billion, five hundred forty million, one hundred seventy-two thousand, one hundred sixty".