82737072 has 160 divisors (see below), whose sum is σ = 270696960. Its totient is φ = 23950080.

The previous prime is 82737041. The next prime is 82737073. The reversal of 82737072 is 27073728.

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

It is not an unprimeable number, because it can be changed into a prime (82737073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108918 + ... + 109674.

It is an arithmetic number, because the mean of its divisors is an integer number (1691856).

Almost surely, 2^82737072 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 82737072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135348480).

82737072 is an abundant number, since it is smaller than the sum of its proper divisors (187959888).

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

82737072 is a wasteful number, since it uses less digits than its factorization.

82737072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 82737072 is about 9095.9920844293. The cubic root of 82737072 is about 435.7459732832.

The spelling of 82737072 in words is "eighty-two million, seven hundred thirty-seven thousand, seventy-two".