1501215672 has 128 divisors (see below), whose sum is σ = 4307281920. Its totient is φ = 431808000.

The previous prime is 1501215659. The next prime is 1501215691. The reversal of 1501215672 is 2765121051.

It is a super-3 number, since 3×1501215672³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432022 + ... + 435482.

It is an arithmetic number, because the mean of its divisors is an integer number (33650640).

Almost surely, 2^1501215672 is an apocalyptic number.

1501215672 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 1501215672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153640960).

1501215672 is an abundant number, since it is smaller than the sum of its proper divisors (2806066248).

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

1501215672 is a wasteful number, since it uses less digits than its factorization.

1501215672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 1501215672 is about 38745.5245415519. The cubic root of 1501215672 is about 1145.0234028384.

The spelling of 1501215672 in words is "one billion, five hundred one million, two hundred fifteen thousand, six hundred seventy-two".