76048272 has 60 divisors (see below), whose sum is σ = 213557760. Its totient is φ = 25262784.

The previous prime is 76048249. The next prime is 76048277. The reversal of 76048272 is 27284067.

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 (76048277) 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, 52129 + ... + 53567.

It is an arithmetic number, because the mean of its divisors is an integer number (3559296).

Almost surely, 2^76048272 is an apocalyptic number.

76048272 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 76048272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106778880).

76048272 is an abundant number, since it is smaller than the sum of its proper divisors (137509488).

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

76048272 is a wasteful number, since it uses less digits than its factorization.

76048272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 76048272 is about 8720.5660366745. The cubic root of 76048272 is about 423.6720200048.

It can be divided in two parts, 7604 and 8272, that added together give a square (15876 = 126²).

The spelling of 76048272 in words is "seventy-six million, forty-eight thousand, two hundred seventy-two".