72736524 has 144 divisors (see below), whose sum is σ = 224078400. Its totient is φ = 19450368.

The previous prime is 72736519. The next prime is 72736529. The reversal of 72736524 is 42563727.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72736519) and next prime (72736529).

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

It is not an unprimeable number, because it can be changed into a prime (72736529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270262 + ... + 270530.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^72736524 is an apocalyptic number.

72736524 is a gapful number since it is divisible by the number (74) 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 72736524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

72736524 is an abundant number, since it is smaller than the sum of its proper divisors (151341876).

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

72736524 is a wasteful number, since it uses less digits than its factorization.

72736524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 347 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 72736524 is about 8528.5710409189. The cubic root of 72736524 is about 417.4305027328.

The spelling of 72736524 in words is "seventy-two million, seven hundred thirty-six thousand, five hundred twenty-four".