78127072 has 24 divisors (see below), whose sum is σ = 154092456. Its totient is φ = 38992512.

The previous prime is 78127061. The next prime is 78127079. The reversal of 78127072 is 27072187.

It is a super-2 number, since 2×78127072² = 12207678758586368, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78127079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18678 + ... + 22474.

It is an arithmetic number, because the mean of its divisors is an integer number (6420519).

Almost surely, 2^78127072 is an apocalyptic number.

It is an amenable number.

78127072 is a deficient number, since it is larger than the sum of its proper divisors (75965384).

78127072 is a wasteful number, since it uses less digits than its factorization.

78127072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 34.

The square root of 78127072 is about 8838.9519740748. The cubic root of 78127072 is about 427.4977659106.

It can be divided in two parts, 7812 and 7072, that added together give a square (14884 = 122²).

The spelling of 78127072 in words is "seventy-eight million, one hundred twenty-seven thousand, seventy-two".