72755760 has 320 divisors, whose sum is σ = 292552704. Its totient is φ = 14515200.

The previous prime is 72755747. The next prime is 72755773. The reversal of 72755760 is 6755727.

72755760 = 693² + 694² + ... + 819².

It is an interprime number because it is at equal distance from previous prime (72755747) and next prime (72755773).

It is a super-2 number, since 2×72755760² = 10586801226355200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572817 + ... + 572943.

Almost surely, 2^72755760 is an apocalyptic number.

72755760 is a gapful number since it is divisible by the number (70) 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 72755760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146276352).

72755760 is an abundant number, since it is smaller than the sum of its proper divisors (219796944).

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

72755760 is a wasteful number, since it uses less digits than its factorization.

72755760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 39.

The square root of 72755760 is about 8529.6987051126. The cubic root of 72755760 is about 417.4672975688.

The spelling of 72755760 in words is "seventy-two million, seven hundred fifty-five thousand, seven hundred sixty".