73401216 has 192 divisors, whose sum is σ = 234420480. Its totient is φ = 20278272.

The previous prime is 73401197. The next prime is 73401217. The reversal of 73401216 is 61210437.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73401217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 884311 + ... + 884393.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 2^73401216 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 73401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117210240).

73401216 is an abundant number, since it is smaller than the sum of its proper divisors (161019264).

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

73401216 is a wasteful number, since it uses less digits than its factorization.

73401216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 73401216 is about 8567.4509628010. The cubic root of 73401216 is about 418.6981913776.

The spelling of 73401216 in words is "seventy-three million, four hundred one thousand, two hundred sixteen".