193248072 has 32 divisors (see below), whose sum is σ = 536800800. Its totient is φ = 64415952.

The previous prime is 193248059. The next prime is 193248091. The reversal of 193248072 is 270842391.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 7 ways as a sum of consecutive naturals, for example, 447118 + ... + 447549.

It is an arithmetic number, because the mean of its divisors is an integer number (16775025).

Almost surely, 2^193248072 is an apocalyptic number.

193248072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

193248072 is an abundant number, since it is smaller than the sum of its proper divisors (343552728).

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

193248072 is a wasteful number, since it uses less digits than its factorization.

193248072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894682 (or 894672 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 193248072 is about 13901.3694289448. The cubic root of 193248072 is about 578.1471510656.

The spelling of 193248072 in words is "one hundred ninety-three million, two hundred forty-eight thousand, seventy-two".