1505475072 has 200 divisors, whose sum is σ = 4642357632. Its totient is φ = 485222400.

The previous prime is 1505475061. The next prime is 1505475109. The reversal of 1505475072 is 2705745051.

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 19 ways as a sum of consecutive naturals, for example, 1285047 + ... + 1286217.

Almost surely, 2^1505475072 is an apocalyptic number.

1505475072 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 1505475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321178816).

1505475072 is an abundant number, since it is smaller than the sum of its proper divisors (3136882560).

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

1505475072 is an equidigital number, since it uses as much as digits as its factorization.

1505475072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 1505475072 is about 38800.4519561306. The cubic root of 1505475072 is about 1146.1053054188.

The spelling of 1505475072 in words is "one billion, five hundred five million, four hundred seventy-five thousand, seventy-two".