73900728 has 128 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 21202560.

The previous prime is 73900699. The next prime is 73900741. The reversal of 73900728 is 82700937.

It is a super-2 number, since 2×73900728² = 10922635197859968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73900692 and 73900701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44326 + ... + 45962.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2^73900728 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 73900728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

73900728 is an abundant number, since it is smaller than the sum of its proper divisors (161971272).

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

73900728 is a wasteful number, since it uses less digits than its factorization.

73900728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 73900728 is about 8596.5532627908. The cubic root of 73900728 is about 419.6458238645.

The spelling of 73900728 in words is "seventy-three million, nine hundred thousand, seven hundred twenty-eight".