73249344 has 168 divisors, whose sum is σ = 246936768. Its totient is φ = 20321280.

The previous prime is 73249343. The next prime is 73249361. The reversal of 73249344 is 44394237.

73249344 is a `hidden beast` number, since 73 + 249 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 73249299 and 73249308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73249343) by changing a digit.

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, 148939 + ... + 149429.

Almost surely, 2^73249344 is an apocalyptic number.

73249344 is a gapful number since it is divisible by the number (74) 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 73249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123468384).

73249344 is an abundant number, since it is smaller than the sum of its proper divisors (173687424).

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

73249344 is a wasteful number, since it uses less digits than its factorization.

73249344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 540 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 73249344 is about 8558.5830602968. The cubic root of 73249344 is about 418.4092205132.

The spelling of 73249344 in words is "seventy-three million, two hundred forty-nine thousand, three hundred forty-four".