73147416 has 64 divisors (see below), whose sum is σ = 196646400. Its totient is φ = 22601088.

The previous prime is 73147411. The next prime is 73147423. The reversal of 73147416 is 61474137.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73147411) 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, 19726 + ... + 23138.

It is an arithmetic number, because the mean of its divisors is an integer number (3072600).

Almost surely, 2^73147416 is an apocalyptic number.

73147416 is a gapful number since it is divisible by the number (76) 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 73147416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98323200).

73147416 is an abundant number, since it is smaller than the sum of its proper divisors (123498984).

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

73147416 is a wasteful number, since it uses less digits than its factorization.

73147416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3484 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 73147416 is about 8552.6262633182. The cubic root of 73147416 is about 418.2150553522.

The spelling of 73147416 in words is "seventy-three million, one hundred forty-seven thousand, four hundred sixteen".