78307272 has 48 divisors (see below), whose sum is σ = 221307840. Its totient is φ = 24967008.

The previous prime is 78307267. The next prime is 78307277. The reversal of 78307272 is 27270387.

It is an interprime number because it is at equal distance from previous prime (78307267) and next prime (78307277).

It is a super-2 number, since 2×78307272² = 12264057696163968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (78307277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21988 + ... + 25299.

It is an arithmetic number, because the mean of its divisors is an integer number (4610580).

Almost surely, 2^78307272 is an apocalyptic number.

78307272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78307272 is an abundant number, since it is smaller than the sum of its proper divisors (143000568).

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

78307272 is a wasteful number, since it uses less digits than its factorization.

78307272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47322 (or 47315 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 78307272 is about 8849.1396191946. The cubic root of 78307272 is about 427.8261879036.

The spelling of 78307272 in words is "seventy-eight million, three hundred seven thousand, two hundred seventy-two".