72646157448 has 128 divisors (see below), whose sum is σ = 212693040000. Its totient is φ = 22939128576.

The previous prime is 72646157431. The next prime is 72646157461. The reversal of 72646157448 is 84475164627.

72646157448 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 61 + 574 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72646157394 and 72646157403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222583 + ... + 441401.

It is an arithmetic number, because the mean of its divisors is an integer number (1661664375).

Almost surely, 2^72646157448 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 72646157448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106346520000).

72646157448 is an abundant number, since it is smaller than the sum of its proper divisors (140046882552).

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

72646157448 is a wasteful number, since it uses less digits than its factorization.

72646157448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218916 (or 218906 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 72646157448 in words is "seventy-two billion, six hundred forty-six million, one hundred fifty-seven thousand, four hundred forty-eight".