73734840 has 128 divisors (see below), whose sum is σ = 249696000. Its totient is φ = 19350144.

The previous prime is 73734823. The next prime is 73734847. The reversal of 73734840 is 4843737.

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 = 73734795 and 73734804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73734847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71851 + ... + 72869.

It is an arithmetic number, because the mean of its divisors is an integer number (1950750).

Almost surely, 2^73734840 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 73734840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124848000).

73734840 is an abundant number, since it is smaller than the sum of its proper divisors (175961160).

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

73734840 is a wasteful number, since it uses less digits than its factorization.

73734840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 73734840 is about 8586.8993239702. The cubic root of 73734840 is about 419.3315898825.

The spelling of 73734840 in words is "seventy-three million, seven hundred thirty-four thousand, eight hundred forty".