73172960 has 96 divisors (see below), whose sum is σ = 200309760. Its totient is φ = 24740352.

The previous prime is 73172893. The next prime is 73172969. The reversal of 73172960 is 6927137.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 73172960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73172969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88067 + ... + 88893.

It is an arithmetic number, because the mean of its divisors is an integer number (2086560).

Almost surely, 2^73172960 is an apocalyptic number.

73172960 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 73172960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100154880).

73172960 is an abundant number, since it is smaller than the sum of its proper divisors (127136800).

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

73172960 is a wasteful number, since it uses less digits than its factorization.

73172960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 73172960 is about 8554.1194754340. The cubic root of 73172960 is about 418.2637316767.

The spelling of 73172960 in words is "seventy-three million, one hundred seventy-two thousand, nine hundred sixty".