73346840 has 128 divisors (see below), whose sum is σ = 210470400. Its totient is φ = 22394880.

The previous prime is 73346797. The next prime is 73346849. The reversal of 73346840 is 4864337.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 73346840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73346849) 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, 90035 + ... + 90845.

It is an arithmetic number, because the mean of its divisors is an integer number (1644300).

Almost surely, 2^73346840 is an apocalyptic number.

73346840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73346840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105235200).

73346840 is an abundant number, since it is smaller than the sum of its proper divisors (137123560).

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

73346840 is a wasteful number, since it uses less digits than its factorization.

73346840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 73346840 is about 8564.2769688982. The cubic root of 73346840 is about 418.5947745751.

The spelling of 73346840 in words is "seventy-three million, three hundred forty-six thousand, eight hundred forty".