72121350 has 48 divisors (see below), whose sum is σ = 204415488. Its totient is φ = 16484640.

The previous prime is 72121349. The next prime is 72121351. The reversal of 72121350 is 5312127.

It is an interprime number because it is at equal distance from previous prime (72121349) and next prime (72121351).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72121351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33294 + ... + 35393.

It is an arithmetic number, because the mean of its divisors is an integer number (4258656).

Almost surely, 2^72121350 is an apocalyptic number.

72121350 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72121350 is an abundant number, since it is smaller than the sum of its proper divisors (132294138).

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

72121350 is a wasteful number, since it uses less digits than its factorization.

72121350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68709 (or 68704 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 72121350 is about 8492.4289811573. The cubic root of 72121350 is about 416.2503539573.

Adding to 72121350 its reverse (5312127), we get a palindrome (77433477).

The spelling of 72121350 in words is "seventy-two million, one hundred twenty-one thousand, three hundred fifty".