72627442734 has 128 divisors (see below), whose sum is σ = 191600640000. Its totient is φ = 17780273280.

The previous prime is 72627442717. The next prime is 72627442751. The reversal of 72627442734 is 43724472627.

It is an interprime number because it is at equal distance from previous prime (72627442717) and next prime (72627442751).

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 63 ways as a sum of consecutive naturals, for example, 1708267 + ... + 1750265.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880000).

Almost surely, 2^72627442734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72627442734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320000).

72627442734 is an abundant number, since it is smaller than the sum of its proper divisors (118973197266).

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

72627442734 is a wasteful number, since it uses less digits than its factorization.

72627442734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42238.

The product of its digits is 3161088, while the sum is 48.

The spelling of 72627442734 in words is "seventy-two billion, six hundred twenty-seven million, four hundred forty-two thousand, seven hundred thirty-four".