73337940 has 192 divisors, whose sum is σ = 254392320. Its totient is φ = 17418240.

The previous prime is 73337939. The next prime is 73337941. The reversal of 73337940 is 4973337.

It is an interprime number because it is at equal distance from previous prime (73337939) and next prime (73337941).

It is a super-3 number, since 3×73337940³ (a number of 25 digits) contains 333 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 = 73337895 and 73337904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73337941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217452 + ... + 217788.

It is an arithmetic number, because the mean of its divisors is an integer number (1324960).

Almost surely, 2^73337940 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 73337940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127196160).

73337940 is an abundant number, since it is smaller than the sum of its proper divisors (181054380).

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

73337940 is a wasteful number, since it uses less digits than its factorization.

73337940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The square root of 73337940 is about 8563.7573529380. The cubic root of 73337940 is about 418.5778429473.

The spelling of 73337940 in words is "seventy-three million, three hundred thirty-seven thousand, nine hundred forty".