70225072632 has 512 divisors, whose sum is σ = 241008768000. Its totient is φ = 18654935040.

The previous prime is 70225072597. The next prime is 70225072651. The reversal of 70225072632 is 23627052207.

70225072632 is a `hidden beast` number, since 70 + 22 + 507 + 2 + 63 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49142094 + ... + 49143522.

It is an arithmetic number, because the mean of its divisors is an integer number (470720250).

Almost surely, 2^70225072632 is an apocalyptic number.

70225072632 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 70225072632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120504384000).

70225072632 is an abundant number, since it is smaller than the sum of its proper divisors (170783695368).

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

70225072632 is a wasteful number, since it uses less digits than its factorization.

70225072632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 70225072632 in words is "seventy billion, two hundred twenty-five million, seventy-two thousand, six hundred thirty-two".