72492100 has 36 divisors (see below), whose sum is σ = 161153748. Its totient is φ = 28288000.

The previous prime is 72492073. The next prime is 72492107. The reversal of 72492100 is 129427.

It can be written as a sum of positive squares in 6 ways, for example, as 19289664 + 53202436 = 4392^2 + 7294^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72492107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4741 + ... + 12940.

It is an arithmetic number, because the mean of its divisors is an integer number (4476493).

Almost surely, 2^72492100 is an apocalyptic number.

It is an amenable number.

72492100 is an abundant number, since it is smaller than the sum of its proper divisors (88661648).

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

72492100 is a wasteful number, since it uses less digits than its factorization.

72492100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17736 (or 17729 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 72492100 is about 8514.2292663517. The cubic root of 72492100 is about 416.9623998287.

The spelling of 72492100 in words is "seventy-two million, four hundred ninety-two thousand, one hundred".