69138720 has 288 divisors, whose sum is σ = 284618880. Its totient is φ = 14971392.

The previous prime is 69138691. The next prime is 69138731. The reversal of 69138720 is 2783196.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3638871 + ... + 3638889.

It is an arithmetic number, because the mean of its divisors is an integer number (988260).

Almost surely, 2^69138720 is an apocalyptic number.

69138720 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 69138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142309440).

69138720 is an abundant number, since it is smaller than the sum of its proper divisors (215480160).

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

69138720 is a wasteful number, since it uses less digits than its factorization.

69138720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 69138720 is about 8314.9696331376. The cubic root of 69138720 is about 410.4312733370.

The spelling of 69138720 in words is "sixty-nine million, one hundred thirty-eight thousand, seven hundred twenty".