748570948272 has 480 divisors, whose sum is σ = 2563594133760. Its totient is φ = 208415047680.

The previous prime is 748570948267. The next prime is 748570948331. The reversal of 748570948272 is 272849075847.

748570948272 is a `hidden beast` number, since 7 + 4 + 85 + 7 + 0 + 9 + 482 + 72 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 583452943 + ... + 583454225.

It is an arithmetic number, because the mean of its divisors is an integer number (5340821112).

Almost surely, 2^748570948272 is an apocalyptic number.

748570948272 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 748570948272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281797066880).

748570948272 is an abundant number, since it is smaller than the sum of its proper divisors (1815023185488).

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

748570948272 is a wasteful number, since it uses less digits than its factorization.

748570948272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 748570948272 in words is "seven hundred forty-eight billion, five hundred seventy million, nine hundred forty-eight thousand, two hundred seventy-two".