1238148072 has 384 divisors, whose sum is σ = 4333824000. Its totient is φ = 325503360.

The previous prime is 1238148071. The next prime is 1238148073. The reversal of 1238148072 is 2708418321.

It is an interprime number because it is at equal distance from previous prime (1238148071) and next prime (1238148073).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238148071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9451447 + ... + 9451577.

It is an arithmetic number, because the mean of its divisors is an integer number (11286000).

Almost surely, 2^1238148072 is an apocalyptic number.

1238148072 is a gapful number since it is divisible by the number (12) 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 1238148072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166912000).

1238148072 is an abundant number, since it is smaller than the sum of its proper divisors (3095675928).

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

1238148072 is a wasteful number, since it uses less digits than its factorization.

1238148072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1238148072 is about 35187.3282873253. The cubic root of 1238148072 is about 1073.8019671701.

The spelling of 1238148072 in words is "one billion, two hundred thirty-eight million, one hundred forty-eight thousand, seventy-two".