70152768 has 168 divisors, whose sum is σ = 233306112. Its totient is φ = 19740672.

The previous prime is 70152767. The next prime is 70152787. The reversal of 70152768 is 86725107.

70152768 is a `hidden beast` number, since 70 + 1 + 527 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (70152767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511996 + ... + 512132.

Almost surely, 2^70152768 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 70152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116653056).

70152768 is an abundant number, since it is smaller than the sum of its proper divisors (163153344).

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

70152768 is a wasteful number, since it uses less digits than its factorization.

70152768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 70152768 is about 8375.7249238499. The cubic root of 70152768 is about 412.4281219112.

The spelling of 70152768 in words is "seventy million, one hundred fifty-two thousand, seven hundred sixty-eight".