69075072 has 256 divisors, whose sum is σ = 235008000. Its totient is φ = 19768320.

The previous prime is 69075067. The next prime is 69075107. The reversal of 69075072 is 27057096.

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 31 ways as a sum of consecutive naturals, for example, 874329 + ... + 874407.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 2^69075072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117504000).

69075072 is an abundant number, since it is smaller than the sum of its proper divisors (165932928).

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

69075072 is a wasteful number, since it uses less digits than its factorization.

69075072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 69075072 is about 8311.1414378532. The cubic root of 69075072 is about 410.3052891805.

The spelling of 69075072 in words is "sixty-nine million, seventy-five thousand, seventy-two".