15072642 has 80 divisors (see below), whose sum is σ = 38602872. Its totient is φ = 4354560.

The previous prime is 15072641. The next prime is 15072649. The reversal of 15072642 is 24627051.

15072642 is a `hidden beast` number, since 15 + 0 + 7 + 2 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7338681 + 7733961 = 2709^2 + 2781^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15072641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35592 + ... + 36012.

Almost surely, 2^15072642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15072642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19301436).

15072642 is an abundant number, since it is smaller than the sum of its proper divisors (23530230).

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

15072642 is a wasteful number, since it uses less digits than its factorization.

15072642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 15072642 is about 3882.3500614963. The cubic root of 15072642 is about 247.0186788914.

Adding to 15072642 its reverse (24627051), we get a palindrome (39699693).

The spelling of 15072642 in words is "fifteen million, seventy-two thousand, six hundred forty-two".