88362720 has 72 divisors (see below), whose sum is σ = 301542696. Its totient is φ = 23563008.

The previous prime is 88362689. The next prime is 88362727. The reversal of 88362720 is 2726388.

It is a happy number.

88362720 is a `hidden beast` number, since 8 + 8 + 3 + 627 + 20 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88362727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29242 + ... + 32121.

It is an arithmetic number, because the mean of its divisors is an integer number (4188093).

Almost surely, 2^88362720 is an apocalyptic number.

88362720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88362720 is an abundant number, since it is smaller than the sum of its proper divisors (213179976).

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

88362720 is a wasteful number, since it uses less digits than its factorization.

88362720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61384 (or 61373 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 88362720 is about 9400.1446797376. The cubic root of 88362720 is about 445.4063031572.

The spelling of 88362720 in words is "eighty-eight million, three hundred sixty-two thousand, seven hundred twenty".