78649272 has 128 divisors (see below), whose sum is σ = 241953600. Its totient is φ = 23514624.

The previous prime is 78649261. The next prime is 78649289. The reversal of 78649272 is 27294687.

It is a super-2 number, since 2×78649272² = 12371415972259968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103518 + ... + 104274.

Almost surely, 2^78649272 is an apocalyptic number.

78649272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78649272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120976800).

78649272 is an abundant number, since it is smaller than the sum of its proper divisors (163304328).

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

78649272 is a wasteful number, since it uses less digits than its factorization.

78649272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 812 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 78649272 is about 8868.4424788122. The cubic root of 78649272 is about 428.4481142360.

The spelling of 78649272 in words is "seventy-eight million, six hundred forty-nine thousand, two hundred seventy-two".