73769040 has 120 divisors (see below), whose sum is σ = 256356360. Its totient is φ = 18988032.

The previous prime is 73768997. The next prime is 73769041. The reversal of 73769040 is 4096737.

It can be written as a sum of positive squares in 4 ways, for example, as 17338896 + 56430144 = 4164^2 + 7512^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 73768986 and 73769004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73769041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19114 + ... + 22646.

It is an arithmetic number, because the mean of its divisors is an integer number (2136303).

Almost surely, 2^73769040 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 73769040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128178180).

73769040 is an abundant number, since it is smaller than the sum of its proper divisors (182587320).

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

73769040 is a wasteful number, since it uses less digits than its factorization.

73769040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3572 counting only the distinct ones).

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

The square root of 73769040 is about 8588.8904987781. The cubic root of 73769040 is about 419.3964119019.

The spelling of 73769040 in words is "seventy-three million, seven hundred sixty-nine thousand, forty".