69772320 has 192 divisors, whose sum is σ = 252564480. Its totient is φ = 17971200.

The previous prime is 69772277. The next prime is 69772361. The reversal of 69772320 is 2327796.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133660 + ... + 134180.

It is an arithmetic number, because the mean of its divisors is an integer number (1315440).

Almost surely, 2^69772320 is an apocalyptic number.

69772320 is a gapful number since it is divisible by the number (60) 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 69772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126282240).

69772320 is an abundant number, since it is smaller than the sum of its proper divisors (182792160).

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

69772320 is a wasteful number, since it uses less digits than its factorization.

69772320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 69772320 is about 8352.9827008081. The cubic root of 69772320 is about 411.6812188321.

The spelling of 69772320 in words is "sixty-nine million, seven hundred seventy-two thousand, three hundred twenty".