72582510 has 128 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 13916160.

The previous prime is 72582467. The next prime is 72582511. The reversal of 72582510 is 1528527.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72582511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28822 + ... + 31238.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 2^72582510 is an apocalyptic number.

72582510 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72582510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

72582510 is an abundant number, since it is smaller than the sum of its proper divisors (161402514).

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

72582510 is a wasteful number, since it uses less digits than its factorization.

72582510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458.

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 72582510 is about 8519.5369592484. The cubic root of 72582510 is about 417.1356688683.

The spelling of 72582510 in words is "seventy-two million, five hundred eighty-two thousand, five hundred ten".