73519056 has 240 divisors, whose sum is σ = 245073600. Its totient is φ = 21026304.

The previous prime is 73519051. The next prime is 73519079. The reversal of 73519056 is 65091537.

It is a happy number.

It is a super-2 number, since 2×73519056² = 10810103190262272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 73519056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73519051) 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 47 ways as a sum of consecutive naturals, for example, 1387126 + ... + 1387178.

It is an arithmetic number, because the mean of its divisors is an integer number (1021140).

Almost surely, 2^73519056 is an apocalyptic number.

73519056 is a gapful number since it is divisible by the number (76) 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 73519056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122536800).

73519056 is an abundant number, since it is smaller than the sum of its proper divisors (171554544).

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

73519056 is a wasteful number, since it uses less digits than its factorization.

73519056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 73519056 is about 8574.3253962046. The cubic root of 73519056 is about 418.9221341474.

It can be divided in two parts, 735 and 19056, that added together give a palindrome (19791).

The spelling of 73519056 in words is "seventy-three million, five hundred nineteen thousand, fifty-six".