72154950 has 72 divisors (see below), whose sum is σ = 208180872. Its totient is φ = 16490880.

The previous prime is 72154937. The next prime is 72154963. The reversal of 72154950 is 5945127.

It is an interprime number because it is at equal distance from previous prime (72154937) and next prime (72154963).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2442 + ... + 12258.

It is an arithmetic number, because the mean of its divisors is an integer number (2891401).

Almost surely, 2^72154950 is an apocalyptic number.

72154950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72154950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104090436).

72154950 is an abundant number, since it is smaller than the sum of its proper divisors (136025922).

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

72154950 is a wasteful number, since it uses less digits than its factorization.

72154950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9846 (or 9834 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 72154950 is about 8494.4069834215. The cubic root of 72154950 is about 416.3149850294.

The spelling of 72154950 in words is "seventy-two million, one hundred fifty-four thousand, nine hundred fifty".