72580760 has 96 divisors (see below), whose sum is σ = 200070000. Its totient is φ = 23563008.

The previous prime is 72580757. The next prime is 72580763. The reversal of 72580760 is 6708527.

It is an interprime number because it is at equal distance from previous prime (72580757) and next prime (72580763).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 72580760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72580763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36266 + ... + 38214.

Almost surely, 2^72580760 is an apocalyptic number.

72580760 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 72580760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100035000).

72580760 is an abundant number, since it is smaller than the sum of its proper divisors (127489240).

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

72580760 is a wasteful number, since it uses less digits than its factorization.

72580760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 72580760 is about 8519.4342535171. The cubic root of 72580760 is about 417.1323163927.

The spelling of 72580760 in words is "seventy-two million, five hundred eighty thousand, seven hundred sixty".