72391536 has 160 divisors (see below), whose sum is σ = 244270080. Its totient is φ = 20093184.

The previous prime is 72391523. The next prime is 72391537. The reversal of 72391536 is 63519327.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72391536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72391537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111565 + ... + 112211.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 2^72391536 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 72391536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

72391536 is an abundant number, since it is smaller than the sum of its proper divisors (171878544).

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

72391536 is a wasteful number, since it uses less digits than its factorization.

72391536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 696 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 72391536 is about 8508.3215736125. The cubic root of 72391536 is about 416.7695015157.

It can be divided in two parts, 72391 and 536, that added together give a palindrome (72927).

The spelling of 72391536 in words is "seventy-two million, three hundred ninety-one thousand, five hundred thirty-six".