73551296 has 112 divisors (see below), whose sum is σ = 183148224. Its totient is φ = 28532736.

The previous prime is 73551281. The next prime is 73551307. The reversal of 73551296 is 69215537.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×73551296⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425066 + ... + 425238.

It is an arithmetic number, because the mean of its divisors is an integer number (1635252).

Almost surely, 2^73551296 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 73551296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91574112).

73551296 is an abundant number, since it is smaller than the sum of its proper divisors (109596928).

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

73551296 is a wasteful number, since it uses less digits than its factorization.

73551296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its digits is 56700, while the sum is 38.

The square root of 73551296 is about 8576.2052214251. The cubic root of 73551296 is about 418.9833612477.

The spelling of 73551296 in words is "seventy-three million, five hundred fifty-one thousand, two hundred ninety-six".