1073729520 has 480 divisors, whose sum is σ = 4183928640. Its totient is φ = 255301632.

The previous prime is 1073729519. The next prime is 1073729533. The reversal of 1073729520 is 259273701.

1073729520 is a `hidden beast` number, since 107 + 3 + 7 + 29 + 520 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56512071 + ... + 56512089.

It is an arithmetic number, because the mean of its divisors is an integer number (8716518).

Almost surely, 2^1073729520 is an apocalyptic number.

1073729520 is a gapful number since it is divisible by the number (10) 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 1073729520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091964320).

1073729520 is an abundant number, since it is smaller than the sum of its proper divisors (3110199120).

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

1073729520 is an equidigital number, since it uses as much as digits as its factorization.

1073729520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1073729520 is about 32767.8122553215. The cubic root of 1073729520 is about 1023.9960886488.

The spelling of 1073729520 in words is "one billion, seventy-three million, seven hundred twenty-nine thousand, five hundred twenty".