82037972 has 18 divisors (see below), whose sum is σ = 151522938. Its totient is φ = 38859408.

The previous prime is 82037959. The next prime is 82037981. The reversal of 82037972 is 27973028.

It can be written as a sum of positive squares in only one way, i.e., 81793936 + 244036 = 9044^2 + 494^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26963 + ... + 29850.

It is an arithmetic number, because the mean of its divisors is an integer number (8417941).

Almost surely, 2^82037972 is an apocalyptic number.

It is an amenable number.

82037972 is a deficient number, since it is larger than the sum of its proper divisors (69484966).

82037972 is a wasteful number, since it uses less digits than its factorization.

82037972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56855 (or 56834 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 82037972 is about 9057.4815484217. The cubic root of 82037972 is about 434.5151986555.

The spelling of 82037972 in words is "eighty-two million, thirty-seven thousand, nine hundred seventy-two".