78757272 has 192 divisors, whose sum is σ = 251596800. Its totient is φ = 22861440.

The previous prime is 78757253. The next prime is 78757279. The reversal of 78757272 is 27275787.

It is a happy number.

78757272 is a `hidden beast` number, since 7 + 8 + 7 + 572 + 72 = 666.

It is a super-3 number, since 3×78757272³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78757279) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620073 + ... + 620199.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^78757272 is an apocalyptic number.

78757272 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 78757272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

78757272 is an abundant number, since it is smaller than the sum of its proper divisors (172839528).

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

78757272 is a wasteful number, since it uses less digits than its factorization.

78757272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its digits is 384160, while the sum is 45.

The square root of 78757272 is about 8874.5293959736. The cubic root of 78757272 is about 428.6441373783.

The spelling of 78757272 in words is "seventy-eight million, seven hundred fifty-seven thousand, two hundred seventy-two".