73146360 has 192 divisors, whose sum is σ = 263854080. Its totient is φ = 15874560.

The previous prime is 73146343. The next prime is 73146383. The reversal of 73146360 is 6364137.

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, 1380094 + ... + 1380146.

It is an arithmetic number, because the mean of its divisors is an integer number (1374240).

Almost surely, 2^73146360 is an apocalyptic number.

73146360 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 73146360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131927040).

73146360 is an abundant number, since it is smaller than the sum of its proper divisors (190707720).

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

73146360 is a wasteful number, since it uses less digits than its factorization.

73146360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 73146360 is about 8552.5645276724. The cubic root of 73146360 is about 418.2130428080.

The spelling of 73146360 in words is "seventy-three million, one hundred forty-six thousand, three hundred sixty".