13500072 has 48 divisors (see below), whose sum is σ = 36958740. Its totient is φ = 4451328.

The previous prime is 13500061. The next prime is 13500077. The reversal of 13500072 is 27000531.

It can be written as a sum of positive squares in 2 ways, for example, as 13439556 + 60516 = 3666^2 + 246^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13500077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6018 + ... + 7950.

Almost surely, 2^13500072 is an apocalyptic number.

13500072 is a gapful number since it is divisible by the number (12) 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 13500072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18479370).

13500072 is an abundant number, since it is smaller than the sum of its proper divisors (23458668).

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

13500072 is a wasteful number, since it uses less digits than its factorization.

13500072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 13500072 is about 3674.2444121207. The cubic root of 13500072 is about 238.1105811014.

The spelling of 13500072 in words is "thirteen million, five hundred thousand, seventy-two".