73157120 has 120 divisors (see below), whose sum is σ = 190363932. Its totient is φ = 26869760.

The previous prime is 73157101. The next prime is 73157129. The reversal of 73157120 is 2175137.

It can be written as a sum of positive squares in 6 ways, for example, as 6310144 + 66846976 = 2512^2 + 8176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73157120.

It is not an unprimeable number, because it can be changed into a prime (73157129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1784300 + ... + 1784340.

Almost surely, 2^73157120 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 73157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95181966).

73157120 is an abundant number, since it is smaller than the sum of its proper divisors (117206812).

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

73157120 is an equidigital number, since it uses as much as digits as its factorization.

73157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 73157120 is about 8553.1935556259. The cubic root of 73157120 is about 418.2335485069.

The spelling of 73157120 in words is "seventy-three million, one hundred fifty-seven thousand, one hundred twenty".