78120672 has 96 divisors (see below), whose sum is σ = 236888064. Its totient is φ = 22080000.

The previous prime is 78120667. The next prime is 78120677. The reversal of 78120672 is 27602187.

It is an interprime number because it is at equal distance from previous prime (78120667) and next prime (78120677).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×78120672² = 12205678787463168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78120677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67297 + ... + 68447.

It is an arithmetic number, because the mean of its divisors is an integer number (2467584).

Almost surely, 2^78120672 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 78120672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118444032).

78120672 is an abundant number, since it is smaller than the sum of its proper divisors (158767392).

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

78120672 is a wasteful number, since it uses less digits than its factorization.

78120672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 78120672 is about 8838.5899327891. The cubic root of 78120672 is about 427.4860923624.

The spelling of 78120672 in words is "seventy-eight million, one hundred twenty thousand, six hundred seventy-two".