73076940 has 72 divisors (see below), whose sum is σ = 222990768. Its totient is φ = 19370880.

The previous prime is 73076891. The next prime is 73076959. The reversal of 73076940 is 4967037.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 73076895 and 73076904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31459 + ... + 33701.

It is an arithmetic number, because the mean of its divisors is an integer number (3097094).

Almost surely, 2^73076940 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 73076940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111495384).

73076940 is an abundant number, since it is smaller than the sum of its proper divisors (149913828).

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

73076940 is a wasteful number, since it uses less digits than its factorization.

73076940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 73076940 is about 8548.5051324778. The cubic root of 73076940 is about 418.0806983836.

The spelling of 73076940 in words is "seventy-three million, seventy-six thousand, nine hundred forty".