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72222696 = 233271373151
BaseRepresentation
bin1000100111000…
…00011111101000
312000220021220200
410103200133220
5121442111241
611055552200
71534611540
oct423403750
9160807820
1072222696
1137849a87
122022b660
1311c69430
149840320
1565194b6
hex44e07e8

72222696 has 192 divisors, whose sum is σ = 245656320. Its totient is φ = 18662400.

The previous prime is 72222677. The next prime is 72222697. The reversal of 72222696 is 69622227.

It is a super-2 number, since 2×722226962 = 10432235635016832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 72222696.

It is not an unprimeable number, because it can be changed into a prime (72222697) 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, 478221 + ... + 478371.

It is an arithmetic number, because the mean of its divisors is an integer number (1279460).

Almost surely, 272222696 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 72222696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122828160).

72222696 is an abundant number, since it is smaller than the sum of its proper divisors (173433624).

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

72222696 is a wasteful number, since it uses less digits than its factorization.

72222696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 72222696 is about 8498.3937305823. The cubic root of 72222696 is about 416.4452364434.

The spelling of 72222696 in words is "seventy-two million, two hundred twenty-two thousand, six hundred ninety-six".