73056896 has 96 divisors (see below), whose sum is σ = 164826900. Its totient is φ = 32215040.

The previous prime is 73056883. The next prime is 73056931. The reversal of 73056896 is 69865037.

It can be written as a sum of positive squares in 2 ways, for example, as 72863296 + 193600 = 8536^2 + 440^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820820 + ... + 820908.

Almost surely, 2^73056896 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 73056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82413450).

73056896 is an abundant number, since it is smaller than the sum of its proper divisors (91770004).

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

73056896 is a wasteful number, since it uses less digits than its factorization.

73056896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 73056896 is about 8547.3326833580. The cubic root of 73056896 is about 418.0424702923.

The spelling of 73056896 in words is "seventy-three million, fifty-six thousand, eight hundred ninety-six".