120510072 has 64 divisors (see below), whose sum is σ = 335652000. Its totient is φ = 40061952.

The previous prime is 120510067. The next prime is 120510077. The reversal of 120510072 is 270015021.

It is an interprime number because it is at equal distance from previous prime (120510067) and next prime (120510077).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120510077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144954 + ... + 145782.

Almost surely, 2^120510072 is an apocalyptic number.

120510072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120510072 is an abundant number, since it is smaller than the sum of its proper divisors (215141928).

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

120510072 is a wasteful number, since it uses less digits than its factorization.

120510072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 120510072 is about 10977.7079574928. The cubic root of 120510072 is about 493.9402857443.

Adding to 120510072 its reverse (270015021), we get a palindrome (390525093).

The spelling of 120510072 in words is "one hundred twenty million, five hundred ten thousand, seventy-two".