73401120 has 192 divisors, whose sum is σ = 276877440. Its totient is φ = 18054144.

The previous prime is 73401103. The next prime is 73401143. The reversal of 73401120 is 2110437.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 73401093 and 73401102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55507 + ... + 56813.

It is an arithmetic number, because the mean of its divisors is an integer number (1442070).

Almost surely, 2^73401120 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 73401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138438720).

73401120 is an abundant number, since it is smaller than the sum of its proper divisors (203476320).

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

73401120 is a wasteful number, since it uses less digits than its factorization.

73401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 73401120 is about 8567.4453601993. The cubic root of 73401120 is about 418.6980088418.

Adding to 73401120 its reverse (2110437), we get a palindrome (75511557).

The spelling of 73401120 in words is "seventy-three million, four hundred one thousand, one hundred twenty".