72013536 has 216 divisors, whose sum is σ = 247993200. Its totient is φ = 20575296.

The previous prime is 72013531. The next prime is 72013559. The reversal of 72013536 is 63531027.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72013531) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10287645 + ... + 10287651.

Almost surely, 2^72013536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72013536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123996600).

72013536 is an abundant number, since it is smaller than the sum of its proper divisors (175979664).

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

72013536 is an frugal number, since it uses more digits than its factorization.

72013536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 72013536 is about 8486.0789532033. The cubic root of 72013536 is about 416.0428333607.

The spelling of 72013536 in words is "seventy-two million, thirteen thousand, five hundred thirty-six".