73973760 has 240 divisors, whose sum is σ = 276815616. Its totient is φ = 16515072.

The previous prime is 73973741. The next prime is 73973761. The reversal of 73973760 is 6737937.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (73973761) 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, 1720299 + ... + 1720341.

Almost surely, 2^73973760 is an apocalyptic number.

73973760 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 73973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138407808).

73973760 is an abundant number, since it is smaller than the sum of its proper divisors (202841856).

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

73973760 is an equidigital number, since it uses as much as digits as its factorization.

73973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 42.

The square root of 73973760 is about 8600.7999627942. The cubic root of 73973760 is about 419.7840159338.

The spelling of 73973760 in words is "seventy-three million, nine hundred seventy-three thousand, seven hundred sixty".