78154272 has 72 divisors (see below), whose sum is σ = 254007936. Its totient is φ = 22329216.

The previous prime is 78154267. The next prime is 78154273. The reversal of 78154272 is 27245187.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×78154272² = 12216180463699968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78154273) 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, 17368 + ... + 21399.

It is an arithmetic number, because the mean of its divisors is an integer number (3527888).

Almost surely, 2^78154272 is an apocalyptic number.

78154272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78154272 is an abundant number, since it is smaller than the sum of its proper divisors (175853664).

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

78154272 is a wasteful number, since it uses less digits than its factorization.

78154272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38790 (or 38779 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 78154272 is about 8840.4904841304. The cubic root of 78154272 is about 427.5473713793.

The spelling of 78154272 in words is "seventy-eight million, one hundred fifty-four thousand, two hundred seventy-two".