1507242672 has 120 divisors (see below), whose sum is σ = 4587352224. Its totient is φ = 459205632.

The previous prime is 1507242643. The next prime is 1507242677. The reversal of 1507242672 is 2762427051.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1507242677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188908 + ... + 196724.

Almost surely, 2^1507242672 is an apocalyptic number.

1507242672 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 1507242672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293676112).

1507242672 is an abundant number, since it is smaller than the sum of its proper divisors (3080109552).

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

1507242672 is a wasteful number, since it uses less digits than its factorization.

1507242672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7947 (or 7938 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1507242672 is about 38823.2233592215. The cubic root of 1507242672 is about 1146.5536829066.

The spelling of 1507242672 in words is "one billion, five hundred seven million, two hundred forty-two thousand, six hundred seventy-two".