1542339072 has 120 divisors (see below), whose sum is σ = 4467346884. Its totient is φ = 512262144.

The previous prime is 1542338947. The next prime is 1542339121. The reversal of 1542339072 is 2709332451.

It can be written as a sum of positive squares in 2 ways, for example, as 1204367616 + 337971456 = 34704^2 + 18384^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1994878 + ... + 1995650.

Almost surely, 2^1542339072 is an apocalyptic number.

1542339072 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 1542339072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233673442).

1542339072 is an abundant number, since it is smaller than the sum of its proper divisors (2925007812).

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

1542339072 is an equidigital number, since it uses as much as digits as its factorization.

1542339072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1542339072 is about 39272.6249695637. The cubic root of 1542339072 is about 1155.3847214473.

The spelling of 1542339072 in words is "one billion, five hundred forty-two million, three hundred thirty-nine thousand, seventy-two".