78141072 has 80 divisors (see below), whose sum is σ = 217128960. Its totient is φ = 24137856.

The previous prime is 78141071. The next prime is 78141073. The reversal of 78141072 is 27014187.

It is an interprime number because it is at equal distance from previous prime (78141071) and next prime (78141073).

It is a super-2 number, since 2×78141072² = 12212054266618368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78141071) 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, 41953 + ... + 43775.

It is an arithmetic number, because the mean of its divisors is an integer number (2714112).

Almost surely, 2^78141072 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 78141072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108564480).

78141072 is an abundant number, since it is smaller than the sum of its proper divisors (138987888).

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

78141072 is a wasteful number, since it uses less digits than its factorization.

78141072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 78141072 is about 8839.7438876927. The cubic root of 78141072 is about 427.5232995748.

The spelling of 78141072 in words is "seventy-eight million, one hundred forty-one thousand, seventy-two".