73748896 has 48 divisors (see below), whose sum is σ = 157437000. Its totient is φ = 34005504.

The previous prime is 73748893. The next prime is 73748897. The reversal of 73748896 is 69884737.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13220496 + 60528400 = 3636^2 + 7780^2 .

It is a super-3 number, since 3×73748896³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (73748893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69780 + ... + 70828.

Almost surely, 2^73748896 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 73748896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78718500).

73748896 is an abundant number, since it is smaller than the sum of its proper divisors (83688104).

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

73748896 is a wasteful number, since it uses less digits than its factorization.

73748896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1064 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The square root of 73748896 is about 8587.7177410532. The cubic root of 73748896 is about 419.3582337790.

The spelling of 73748896 in words is "seventy-three million, seven hundred forty-eight thousand, eight hundred ninety-six".