82737216 has 63 divisors (see below), whose sum is σ = 237778671. Its totient is φ = 27506304.

The previous prime is 82737211. The next prime is 82737227. The reversal of 82737216 is 61273728.

The square root of 82737216 is 9096.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×82737216² = 13690893822861312, which contains 22 as substring.

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 (82737211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 218115 + ... + 218493.

Almost surely, 2^82737216 is an apocalyptic number.

82737216 is the 9096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82737216

82737216 is an abundant number, since it is smaller than the sum of its proper divisors (155041455).

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

82737216 is an equidigital number, since it uses as much as digits as its factorization.

82737216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 384 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The cubic root of 82737216 is about 435.7462260815.

Multiplying 82737216 by its sum of digits (36), we get a square (2978539776 = 54576²).

82737216 divided by its sum of digits (36) gives a square (2298256 = 1516²).

Multiplying 82737216 by its product of digits (28224), we get a square (2335175184384 = 1528128²).

The spelling of 82737216 in words is "eighty-two million, seven hundred thirty-seven thousand, two hundred sixteen".