82573380 has 72 divisors (see below), whose sum is σ = 253536192. Its totient is φ = 21750336.

The previous prime is 82573363. The next prime is 82573397. The reversal of 82573380 is 8337528.

82573380 is a `hidden beast` number, since 8 + 2 + 573 + 3 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (82573363) and next prime (82573397).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12177 + ... + 17703.

It is an arithmetic number, because the mean of its divisors is an integer number (3521336).

Almost surely, 2^82573380 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 82573380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126768096).

82573380 is an abundant number, since it is smaller than the sum of its proper divisors (170962812).

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

82573380 is a wasteful number, since it uses less digits than its factorization.

82573380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5625 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 82573380 is about 9086.9896005223. The cubic root of 82573380 is about 435.4584148773.

The spelling of 82573380 in words is "eighty-two million, five hundred seventy-three thousand, three hundred eighty".