72626400 has 432 divisors, whose sum is σ = 321729408. Its totient is φ = 14976000.

The previous prime is 72626381. The next prime is 72626419. The reversal of 72626400 is 462627.

It is an interprime number because it is at equal distance from previous prime (72626381) and next prime (72626419).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554335 + ... + 554465.

It is an arithmetic number, because the mean of its divisors is an integer number (744744).

Almost surely, 2^72626400 is an apocalyptic number.

72626400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

72626400 is an abundant number, since it is smaller than the sum of its proper divisors (249103008).

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

72626400 is a wasteful number, since it uses less digits than its factorization.

72626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72626400 is about 8522.1124141846. The cubic root of 72626400 is about 417.2197313397.

The spelling of 72626400 in words is "seventy-two million, six hundred twenty-six thousand, four hundred".