73226592 has 168 divisors, whose sum is σ = 224204904. Its totient is φ = 23514624.

The previous prime is 73226591. The next prime is 73226603. The reversal of 73226592 is 29562237.

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

Its product of digits (45360) is a multiple of the sum of its prime factors (144).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73226591) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1003068 + ... + 1003140.

It is an arithmetic number, because the mean of its divisors is an integer number (1334553).

Almost surely, 2^73226592 is an apocalyptic number.

73226592 is a gapful number since it is divisible by the number (72) 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 73226592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112102452).

73226592 is an abundant number, since it is smaller than the sum of its proper divisors (150978312).

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

73226592 is an equidigital number, since it uses as much as digits as its factorization.

73226592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 73226592 is about 8557.2537650814. The cubic root of 73226592 is about 418.3658952907.

The spelling of 73226592 in words is "seventy-three million, two hundred twenty-six thousand, five hundred ninety-two".