73476760 has 64 divisors (see below), whose sum is σ = 189702720. Its totient is φ = 25090560.

The previous prime is 73476719. The next prime is 73476761. The reversal of 73476760 is 6767437.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73476761) 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, 110830 + ... + 111490.

It is an arithmetic number, because the mean of its divisors is an integer number (2964105).

Almost surely, 2^73476760 is an apocalyptic number.

73476760 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 73476760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94851360).

73476760 is an abundant number, since it is smaller than the sum of its proper divisors (116225960).

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

73476760 is a wasteful number, since it uses less digits than its factorization.

73476760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 40.

The square root of 73476760 is about 8571.8586082599. The cubic root of 73476760 is about 418.8417825101.

The spelling of 73476760 in words is "seventy-three million, four hundred seventy-six thousand, seven hundred sixty".