70024642272 has 576 divisors, whose sum is σ = 238111211520. Its totient is φ = 19313344512.

The previous prime is 70024642241. The next prime is 70024642277. The reversal of 70024642272 is 27224642007.

70024642272 is a `hidden beast` number, since 7 + 0 + 0 + 2 + 4 + 642 + 2 + 7 + 2 = 666.

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 (70024642277) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207788088 + ... + 207788424.

It is an arithmetic number, because the mean of its divisors is an integer number (413387520).

Almost surely, 2^70024642272 is an apocalyptic number.

70024642272 is a gapful number since it is divisible by the number (72) 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 70024642272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119055605760).

70024642272 is an abundant number, since it is smaller than the sum of its proper divisors (168086569248).

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

70024642272 is a wasteful number, since it uses less digits than its factorization.

70024642272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 70024642272 in words is "seventy billion, twenty-four million, six hundred forty-two thousand, two hundred seventy-two".