73133760 has 112 divisors (see below), whose sum is σ = 265395456. Its totient is φ = 16714752.

The previous prime is 73133759. The next prime is 73133771. The reversal of 73133760 is 6733137.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279 + ... + 12161.

Almost surely, 2^73133760 is an apocalyptic number.

73133760 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 73133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132697728).

73133760 is an abundant number, since it is smaller than the sum of its proper divisors (192261696).

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

73133760 is a wasteful number, since it uses less digits than its factorization.

73133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10910 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 30.

The square root of 73133760 is about 8551.8278747879. The cubic root of 73133760 is about 418.1890280019.

Adding to 73133760 its reverse (6733137), we get a palindrome (79866897).

The spelling of 73133760 in words is "seventy-three million, one hundred thirty-three thousand, seven hundred sixty".