85378272 has 48 divisors (see below), whose sum is σ = 256136832. Its totient is φ = 24393600.

The previous prime is 85378261. The next prime is 85378289. The reversal of 85378272 is 27287358.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62854 + ... + 64197.

It is an arithmetic number, because the mean of its divisors is an integer number (5336184).

Almost surely, 2^85378272 is an apocalyptic number.

It is an amenable number.

85378272 is an abundant number, since it is smaller than the sum of its proper divisors (170758560).

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

85378272 is a wasteful number, since it uses less digits than its factorization.

85378272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127071 (or 127063 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 85378272 is about 9240.0363635648. The cubic root of 85378272 is about 440.3342363985.

The spelling of 85378272 in words is "eighty-five million, three hundred seventy-eight thousand, two hundred seventy-two".