72912150 has 144 divisors (see below), whose sum is σ = 215704944. Its totient is φ = 18247680.

The previous prime is 72912143. The next prime is 72912157. The reversal of 72912150 is 5121927.

It is an interprime number because it is at equal distance from previous prime (72912143) and next prime (72912157).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72912157) 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 71 ways as a sum of consecutive naturals, for example, 206374 + ... + 206726.

It is an arithmetic number, because the mean of its divisors is an integer number (1497951).

Almost surely, 2^72912150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72912150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107852472).

72912150 is an abundant number, since it is smaller than the sum of its proper divisors (142792794).

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

72912150 is a wasteful number, since it uses less digits than its factorization.

72912150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 72912150 is about 8538.8611652843. The cubic root of 72912150 is about 417.7662016801.

The spelling of 72912150 in words is "seventy-two million, nine hundred twelve thousand, one hundred fifty".