72149400 has 192 divisors, whose sum is σ = 257126400. Its totient is φ = 18576000.

The previous prime is 72149393. The next prime is 72149401. The reversal of 72149400 is 494127.

It is a happy number.

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 (72149401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167185 + ... + 167615.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^72149400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72149400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

72149400 is an abundant number, since it is smaller than the sum of its proper divisors (184977000).

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

72149400 is a wasteful number, since it uses less digits than its factorization.

72149400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72149400 is about 8494.0802915913. The cubic root of 72149400 is about 416.3043107448.

The spelling of 72149400 in words is "seventy-two million, one hundred forty-nine thousand, four hundred".