73942440 has 256 divisors, whose sum is σ = 270950400. Its totient is φ = 15897600.

The previous prime is 73942417. The next prime is 73942487. The reversal of 73942440 is 4424937.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531891 + ... + 532029.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^73942440 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 73942440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

73942440 is an abundant number, since it is smaller than the sum of its proper divisors (197007960).

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

73942440 is a wasteful number, since it uses less digits than its factorization.

73942440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 73942440 is about 8598.9790091615. The cubic root of 73942440 is about 419.7247629800.

The spelling of 73942440 in words is "seventy-three million, nine hundred forty-two thousand, four hundred forty".