72734032 has 60 divisors (see below), whose sum is σ = 165582036. Its totient is φ = 30858240.

The previous prime is 72734017. The next prime is 72734047. The reversal of 72734032 is 23043727.

It is an interprime number because it is at equal distance from previous prime (72734017) and next prime (72734047).

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 64577296 = 2856^2 + 8036^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88182 + ... + 89002.

Almost surely, 2^72734032 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 72734032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82791018).

72734032 is an abundant number, since it is smaller than the sum of its proper divisors (92848004).

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

72734032 is a wasteful number, since it uses less digits than its factorization.

72734032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 72734032 is about 8528.4249425084. The cubic root of 72734032 is about 417.4257355327.

Adding to 72734032 its reverse (23043727), we get a palindrome (95777759).

The spelling of 72734032 in words is "seventy-two million, seven hundred thirty-four thousand, thirty-two".