72351760 has 80 divisors (see below), whose sum is σ = 183831984. Its totient is φ = 26320896.

The previous prime is 72351733. The next prime is 72351787. The reversal of 72351760 is 6715327.

It is an interprime number because it is at equal distance from previous prime (72351733) and next prime (72351787).

It can be written as a sum of positive squares in 8 ways, for example, as 5308416 + 67043344 = 2304^2 + 8188^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75444 + ... + 76396.

Almost surely, 2^72351760 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 72351760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91915992).

72351760 is an abundant number, since it is smaller than the sum of its proper divisors (111480224).

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

72351760 is a wasteful number, since it uses less digits than its factorization.

72351760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 72351760 is about 8505.9837761425. The cubic root of 72351760 is about 416.6931552938.

The spelling of 72351760 in words is "seventy-two million, three hundred fifty-one thousand, seven hundred sixty".