1501158672 has 120 divisors (see below), whose sum is σ = 4646818904. Its totient is φ = 449390592.

The previous prime is 1501158671. The next prime is 1501158677. The reversal of 1501158672 is 2768511051.

1501158672 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 1 + 586 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 717382656 + 783776016 = 26784^2 + 27996^2 .

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 (1501158671) 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, 58428 + ... + 80100.

Almost surely, 2^1501158672 is an apocalyptic number.

1501158672 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 1501158672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323409452).

1501158672 is an abundant number, since it is smaller than the sum of its proper divisors (3145660232).

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

1501158672 is a wasteful number, since it uses less digits than its factorization.

1501158672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21737 (or 21728 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The square root of 1501158672 is about 38744.7889657435. The cubic root of 1501158672 is about 1145.0089107701.

The spelling of 1501158672 in words is "one billion, five hundred one million, one hundred fifty-eight thousand, six hundred seventy-two".