78507072 has 84 divisors (see below), whose sum is σ = 257186176. Its totient is φ = 22429440.

The previous prime is 78507067. The next prime is 78507083. The reversal of 78507072 is 27070587.

It is a tau number, because it is divible by the number of its divisors (84).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5704 + ... + 13767.

Almost surely, 2^78507072 is an apocalyptic number.

78507072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78507072 is an abundant number, since it is smaller than the sum of its proper divisors (178679104).

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

78507072 is a wasteful number, since it uses less digits than its factorization.

78507072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19496 (or 19483 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 78507072 is about 8860.4216603952. The cubic root of 78507072 is about 428.1897432199.

The spelling of 78507072 in words is "seventy-eight million, five hundred seven thousand, seventy-two".