88248072 has 128 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 25152000.

The previous prime is 88248067. The next prime is 88248077. The reversal of 88248072 is 27084288.

It is an interprime number because it is at equal distance from previous prime (88248067) and next prime (88248077).

It is a self number, because there is not a number n which added to its sum of digits gives 88248072.

It is not an unprimeable number, because it can be changed into a prime (88248077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335413 + ... + 335675.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 2^88248072 is an apocalyptic number.

88248072 is a gapful number since it is divisible by the number (82) 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 88248072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

88248072 is an abundant number, since it is smaller than the sum of its proper divisors (167219448).

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

88248072 is a wasteful number, since it uses less digits than its factorization.

88248072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 88248072 is about 9394.0444963817. The cubic root of 88248072 is about 445.2135859764.

It can be divided in two parts, 88 and 248072, that added together give a triangular number (248160 = T₇₀₄).

The spelling of 88248072 in words is "eighty-eight million, two hundred forty-eight thousand, seventy-two".