73772440 has 128 divisors (see below), whose sum is σ = 204480000. Its totient is φ = 23877504.

The previous prime is 73772429. The next prime is 73772441. The reversal of 73772440 is 4427737.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73772396 and 73772405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73772441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260539 + ... + 260821.

It is an arithmetic number, because the mean of its divisors is an integer number (1597500).

Almost surely, 2^73772440 is an apocalyptic number.

73772440 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 73772440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102240000).

73772440 is an abundant number, since it is smaller than the sum of its proper divisors (130707560).

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

73772440 is a wasteful number, since it uses less digits than its factorization.

73772440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 34.

The square root of 73772440 is about 8589.0884266027. The cubic root of 73772440 is about 419.4028551012.

The spelling of 73772440 in words is "seventy-three million, seven hundred seventy-two thousand, four hundred forty".